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3749428608 = 273175310837
BaseRepresentation
bin1101111101111011…
…1011110110000000
3100200022012201010020
43133132323312000
530134323203413
61420015133440
7161625421512
oct33736736600
910608181106
103749428608
111654500232
12887814280
13479a3bc13
14277d69bb2
1516e27bc23
hexdf7bbd80

3749428608 has 128 divisors (see below), whose sum is σ = 10745226720. Its totient is φ = 1153990656.

The previous prime is 3749428577. The next prime is 3749428663. The reversal of 3749428608 is 8068249473.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (51).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 340566 + ... + 351402.

Almost surely, 23749428608 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 3749428608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5372613360).

3749428608 is an abundant number, since it is smaller than the sum of its proper divisors (6995798112).

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

3749428608 is a wasteful number, since it uses less digits than its factorization.

3749428608 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10924 (or 10912 counting only the distinct ones).

The product of its (nonzero) digits is 2322432, while the sum is 51.

The square root of 3749428608 is about 61232.5779957042. The cubic root of 3749428608 is about 1553.5373401778.

The spelling of 3749428608 in words is "three billion, seven hundred forty-nine million, four hundred twenty-eight thousand, six hundred eight".

Divisors: 1 2 3 4 6 8 12 16 17 24 32 34 48 51 53 64 68 96 102 106 128 136 159 192 204 212 272 318 384 408 424 544 636 816 848 901 1088 1272 1632 1696 1802 2176 2544 2703 3264 3392 3604 5088 5406 6528 6784 7208 10176 10812 10837 14416 20352 21624 21674 28832 32511 43248 43348 57664 65022 86496 86696 115328 130044 172992 173392 184229 260088 345984 346784 368458 520176 552687 574361 693568 736916 1040352 1105374 1148722 1387136 1473832 1723083 2080704 2210748 2297444 2947664 3446166 4161408 4421496 4594888 5895328 6892332 8842992 9189776 9764137 11790656 13784664 17685984 18379552 19528274 23581312 27569328 29292411 35371968 36759104 39056548 55138656 58584822 70743936 73518208 78113096 110277312 117169644 156226192 220554624 234339288 312452384 468678576 624904768 937357152 1249809536 1874714304 3749428608