3204919872 has 840 divisors, whose sum is σ = 12781410048. Its totient is φ = 783820800.

The previous prime is 3204919853. The next prime is 3204919877. The reversal of 3204919872 is 2789194023.

3204919872 is a `hidden beast` number, since 3 + 2 + 0 + 491 + 98 + 72 = 666.

It is a super-2 number, since 2×3204919872² = 20543022771880992768, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (3204919877) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 86619438 + ... + 86619474.

Almost surely, 2^3204919872 is an apocalyptic number.

3204919872 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3204919872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6390705024).

3204919872 is an abundant number, since it is smaller than the sum of its proper divisors (9576490176).

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

3204919872 is a wasteful number, since it uses less digits than its factorization.

3204919872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 117 (or 91 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 45.

The square root of 3204919872 is about 56612.0117289608. The cubic root of 3204919872 is about 1474.3674195620.

The spelling of 3204919872 in words is "three billion, two hundred four million, nine hundred nineteen thousand, eight hundred seventy-two".