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3722490624 = 28397107467
BaseRepresentation
bin1101110111100000…
…1011001100000000
3100121102112010011010
43131320023030000
530110424144444
61413213520520
7161150435226
oct33570131400
910542463133
103722490624
111640281336
1287a7a3140
13474299898
14274556b16
1516bc0a2b9
hexdde0b300

3722490624 has 144 divisors (see below), whose sum is σ = 10124569728. Its totient is φ = 1213956096.

The previous prime is 3722490613. The next prime is 3722490631. The reversal of 3722490624 is 4260942273.

It is a happy 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, 7970839 + ... + 7971305.

It is an arithmetic number, because the mean of its divisors is an integer number (70309512).

Almost surely, 23722490624 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 3722490624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5062284864).

3722490624 is an abundant number, since it is smaller than the sum of its proper divisors (6402079104).

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

3722490624 is a wasteful number, since it uses less digits than its factorization.

3722490624 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 690 (or 676 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 39.

The square root of 3722490624 is about 61012.2170061046. The cubic root of 3722490624 is about 1549.8079018265.

The spelling of 3722490624 in words is "three billion, seven hundred twenty-two million, four hundred ninety thousand, six hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 97 107 128 192 194 214 256 291 321 384 388 428 467 582 642 768 776 856 934 1164 1284 1401 1552 1712 1868 2328 2568 2802 3104 3424 3736 4656 5136 5604 6208 6848 7472 9312 10272 10379 11208 12416 13696 14944 18624 20544 20758 22416 24832 27392 29888 31137 37248 41088 41516 44832 45299 49969 59776 62274 74496 82176 83032 89664 90598 99938 119552 124548 135897 149907 166064 179328 181196 199876 249096 271794 299814 332128 358656 362392 399752 498192 543588 599628 664256 724784 799504 996384 1087176 1199256 1328512 1449568 1599008 1992768 2174352 2398512 2657024 2899136 3198016 3985536 4348704 4797024 4846993 5798272 6396032 7971072 8697408 9594048 9693986 11596544 12792064 14540979 17394816 19188096 19387972 29081958 34789632 38376192 38775944 58163916 77551888 116327832 155103776 232655664 310207552 465311328 620415104 930622656 1240830208 1861245312 3722490624