3264914400 has 576 divisors, whose sum is σ = 12779182080. Its totient is φ = 714700800.

The previous prime is 3264914399. The next prime is 3264914461. The reversal of 3264914400 is 44194623.

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, 11536659 + ... + 11536941.

It is an arithmetic number, because the mean of its divisors is an integer number (22186080).

Almost surely, 2^3264914400 is an apocalyptic number.

3264914400 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 3264914400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6389591040).

3264914400 is an abundant number, since it is smaller than the sum of its proper divisors (9514267680).

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

3264914400 is a wasteful number, since it uses less digits than its factorization.

3264914400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 359 (or 346 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 33.

The square root of 3264914400 is about 57139.4294686253. The cubic root of 3264914400 is about 1483.5104155321.

It can be divided in two parts, 326491 and 4400, that added together give a triangular number (330891 = T₈₁₃).

The spelling of 3264914400 in words is "three billion, two hundred sixty-four million, nine hundred fourteen thousand, four hundred".