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3680886336 = 263592931109
BaseRepresentation
bin1101101101100101…
…1101111001000000
3100111112020101210120
43123121131321000
530014301330321
61405130100240
7160134006021
oct33331357100
910445211716
103680886336
111619845426
1286887a680
13468790a6a
1426cc06c48
1516823cec6
hexdb65de40

3680886336 has 112 divisors (see below), whose sum is σ = 9946843200. Its totient is φ = 1200965632.

The previous prime is 3680886331. The next prime is 3680886343. The reversal of 3680886336 is 6336880863.

It is not an unprimeable number, because it can be changed into a prime (3680886331) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3318550 + ... + 3319658.

It is an arithmetic number, because the mean of its divisors is an integer number (88811100).

Almost surely, 23680886336 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 3680886336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4973421600).

3680886336 is an abundant number, since it is smaller than the sum of its proper divisors (6265956864).

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

3680886336 is a wasteful number, since it uses less digits than its factorization.

3680886336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1476 (or 1466 counting only the distinct ones).

The product of its (nonzero) digits is 2985984, while the sum is 51.

The square root of 3680886336 is about 60670.3085207254. The cubic root of 3680886336 is about 1544.0124655584.

The spelling of 3680886336 in words is "three billion, six hundred eighty million, eight hundred eighty-six thousand, three hundred thirty-six".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 59 64 96 118 177 192 236 293 354 472 586 708 879 944 1109 1172 1416 1758 1888 2218 2344 2832 3327 3516 3776 4436 4688 5664 6654 7032 8872 9376 11328 13308 14064 17287 17744 18752 26616 28128 34574 35488 51861 53232 56256 65431 69148 70976 103722 106464 130862 138296 196293 207444 212928 261724 276592 324937 392586 414888 523448 553184 649874 785172 829776 974811 1046896 1106368 1299748 1570344 1659552 1949622 2093792 2599496 3140688 3319104 3899244 4187584 5198992 6281376 7798488 10397984 12562752 15596976 19171283 20795968 31193952 38342566 57513849 62387904 76685132 115027698 153370264 230055396 306740528 460110792 613481056 920221584 1226962112 1840443168 3680886336