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3800404720 = 245728871093
BaseRepresentation
bin1110001010000101…
…1001001011110000
3100210212010120012101
43202201121023300
530240400422340
61425035510144
7163114623100
oct34241311360
910725116171
103800404720
111680258352
128a08b8354
134874796b8
14280a39200
1517399ac9a
hexe28592f0

3800404720 has 120 divisors (see below), whose sum is σ = 10299546144. Its totient is φ = 1300336128.

The previous prime is 3800404679. The next prime is 3800404733. The reversal of 3800404720 is 274040083.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3476494 + ... + 3477586.

Almost surely, 23800404720 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3800404720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5149773072).

3800404720 is an abundant number, since it is smaller than the sum of its proper divisors (6499141424).

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

3800404720 is a wasteful number, since it uses less digits than its factorization.

3800404720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2007 (or 1994 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 28.

The square root of 3800404720 is about 61647.4226549659. The cubic root of 3800404720 is about 1560.5461489006.

The spelling of 3800404720 in words is "three billion, eight hundred million, four hundred four thousand, seven hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 35 40 49 56 70 80 98 112 140 196 245 280 392 490 560 784 887 980 1093 1774 1960 2186 3548 3920 4372 4435 5465 6209 7096 7651 8744 8870 10930 12418 14192 15302 17488 17740 21860 24836 30604 31045 35480 38255 43463 43720 49672 53557 61208 62090 70960 76510 86926 87440 99344 107114 122416 124180 153020 173852 214228 217315 248360 267785 306040 347704 428456 434630 496720 535570 612080 695408 856912 869260 969491 1071140 1738520 1938982 2142280 3477040 3877964 4284560 4847455 6786437 7755928 9694910 13572874 15511856 19389820 27145748 33932185 38779640 47505059 54291496 67864370 77559280 95010118 108582992 135728740 190020236 237525295 271457480 380040472 475050590 542914960 760080944 950101180 1900202360 3800404720