3264132400 has 120 divisors (see below), whose sum is σ = 8229142944. Its totient is φ = 1241856000.

The previous prime is 3264132373. The next prime is 3264132407. The reversal of 3264132400 is 42314623.

It is a super-3 number, since 3×3264132400³ (a number of 30 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is not an unprimeable number, because it can be changed into a prime (3264132407) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1811500 + ... + 1813300.

Almost surely, 2^3264132400 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 3264132400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4114571472).

3264132400 is an abundant number, since it is smaller than the sum of its proper divisors (4965010544).

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

3264132400 is a wasteful number, since it uses less digits than its factorization.

3264132400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2039 (or 2028 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 25.

The square root of 3264132400 is about 57132.5861483620. The cubic root of 3264132400 is about 1483.3919644656.

The spelling of 3264132400 in words is "three billion, two hundred sixty-four million, one hundred thirty-two thousand, four hundred".