3257872164 has 120 divisors (see below), whose sum is σ = 9008014400. Its totient is φ = 1023865920.

The previous prime is 3257872159. The next prime is 3257872169. The reversal of 3257872164 is 4612787523.

3257872164 is a `hidden beast` number, since 3 + 2 + 578 + 72 + 1 + 6 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (3257872159) and next prime (3257872169).

It is a super-2 number, since 2×3257872164² = 21227462073932085792, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (3257872169) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1408569 + ... + 1410879.

Almost surely, 2^3257872164 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 3257872164, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4504007200).

3257872164 is an abundant number, since it is smaller than the sum of its proper divisors (5750142236).

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

3257872164 is a wasteful number, since it uses less digits than its factorization.

3257872164 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2575 (or 2564 counting only the distinct ones).

The product of its digits is 564480, while the sum is 45.

The square root of 3257872164 is about 57077.7729418379. The cubic root of 3257872164 is about 1482.4430316695.

The spelling of 3257872164 in words is "three billion, two hundred fifty-seven million, eight hundred seventy-two thousand, one hundred sixty-four".