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3880428720 = 243573174509
BaseRepresentation
bin1110011101001010…
…1010010010110000
3101000102201012111020
43213102222102300
530421342204340
61441015015440
7165106046160
oct34722522260
911012635436
103880428720
111711445593
1290366a580
1349ac1798c
1428b50a5a0
1517aa069d0
hexe74aa4b0

3880428720 has 160 divisors (see below), whose sum is σ = 14191472640. Its totient is φ = 858332160.

The previous prime is 3880428709. The next prime is 3880428757. The reversal of 3880428720 is 278240883.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 14826 + ... + 89334.

It is an arithmetic number, because the mean of its divisors is an integer number (88696704).

Almost surely, 23880428720 is an apocalyptic number.

3880428720 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3880428720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7095736320).

3880428720 is an abundant number, since it is smaller than the sum of its proper divisors (10311043920).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

3880428720 is a wasteful number, since it uses less digits than its factorization.

3880428720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 74563 (or 74557 counting only the distinct ones).

The product of its (nonzero) digits is 172032, while the sum is 42.

The square root of 3880428720 is about 62293.0872569341. The cubic root of 3880428720 is about 1571.4234753711.

The spelling of 3880428720 in words is "three billion, eight hundred eighty million, four hundred twenty-eight thousand, seven hundred twenty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 28 30 31 35 40 42 48 56 60 62 70 80 84 93 105 112 120 124 140 155 168 186 210 217 240 248 280 310 336 372 420 434 465 496 560 620 651 744 840 868 930 1085 1240 1302 1488 1680 1736 1860 2170 2480 2604 3255 3472 3720 4340 5208 6510 7440 8680 10416 13020 17360 26040 52080 74509 149018 223527 298036 372545 447054 521563 596072 745090 894108 1043126 1117635 1192144 1490180 1564689 1788216 2086252 2235270 2309779 2607815 2980360 3129378 3576432 4172504 4470540 4619558 5215630 5960720 6258756 6929337 7823445 8345008 8941080 9239116 10431260 11548895 12517512 13858674 15646890 16168453 17882160 18478232 20862520 23097790 25035024 27717348 31293780 32336906 34646685 36956464 41725040 46195580 48505359 55434696 62587560 64673812 69293370 80842265 92391160 97010718 110869392 125175120 129347624 138586740 161684530 184782320 194021436 242526795 258695248 277173480 323369060 388042872 485053590 554346960 646738120 776085744 970107180 1293476240 1940214360 3880428720