3264518400 has 864 divisors, whose sum is σ = 13412891520. Its totient is φ = 688128000.

The previous prime is 3264518351. The next prime is 3264518437. The reversal of 3264518400 is 48154623.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 79622380 + ... + 79622420.

It is an arithmetic number, because the mean of its divisors is an integer number (15524180).

Almost surely, 2^3264518400 is an apocalyptic number.

3264518400 is a gapful number since it is divisible by the number (30) 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 3264518400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6706445760).

3264518400 is an abundant number, since it is smaller than the sum of its proper divisors (10148373120).

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

3264518400 is a wasteful number, since it uses less digits than its factorization.

3264518400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 123 (or 104 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 33.

The square root of 3264518400 is about 57135.9641556874. The cubic root of 3264518400 is about 1483.4504350032.

The spelling of 3264518400 in words is "three billion, two hundred sixty-four million, five hundred eighteen thousand, four hundred".