3330100972 has 72 divisors (see below), whose sum is σ = 6798984192. Its totient is φ = 1413854400.

The previous prime is 3330100957. The next prime is 3330100993. The reversal of 3330100972 is 2790010333.

It is a super-2 number, since 2×3330100972² = 22179144967430689568, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 3330100972.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1145673 + ... + 1148575.

It is an arithmetic number, because the mean of its divisors is an integer number (94430336).

Almost surely, 2^3330100972 is an apocalyptic number.

It is an amenable number.

3330100972 is an abundant number, since it is smaller than the sum of its proper divisors (3468883220).

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

3330100972 is a wasteful number, since it uses less digits than its factorization.

3330100972 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3007 (or 2976 counting only the distinct ones).

The product of its (nonzero) digits is 3402, while the sum is 28.

The square root of 3330100972 is about 57707.0270591026. The cubic root of 3330100972 is about 1493.3185753794.

The spelling of 3330100972 in words is "three billion, three hundred thirty million, one hundred thousand, nine hundred seventy-two".