3258964800 has 672 divisors, whose sum is σ = 14639340800. Its totient is φ = 686776320.

The previous prime is 3258964757. The next prime is 3258964811. The reversal of 3258964800 is 84698523.

3258964800 is a `hidden beast` number, since 3 + 2 + 589 + 64 + 8 + 0 + 0 = 666.

3258964800 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (672).

It is a Harshad number since it is a multiple of its sum of digits (45).

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, 3930786 + ... + 3931614.

Almost surely, 2^3258964800 is an apocalyptic number.

3258964800 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 3258964800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7319670400).

3258964800 is an abundant number, since it is smaller than the sum of its proper divisors (11380376000).

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

3258964800 is a wasteful number, since it uses less digits than its factorization.

3258964800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 880 (or 859 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 45.

The square root of 3258964800 is about 57087.3436060919. The cubic root of 3258964800 is about 1482.6087420366.

The spelling of 3258964800 in words is "three billion, two hundred fifty-eight million, nine hundred sixty-four thousand, eight hundred".