3288831206400 has 1584 divisors, whose sum is σ = 13081795586496. Its totient is φ = 815797370880.

The previous prime is 3288831206369. The next prime is 3288831206483. The reversal of 3288831206400 is 46021388823.

3288831206400 is a `hidden beast` number, since 3 + 2 + 8 + 8 + 8 + 31 + 206 + 400 = 666.

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 143 ways as a sum of consecutive naturals, for example, 14488243087 + ... + 14488243313.

Almost surely, 2^{3288831206400} is an apocalyptic number.

3288831206400 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 3288831206400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6540897793248).

3288831206400 is an abundant number, since it is smaller than the sum of its proper divisors (9792964380096).

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

3288831206400 is a wasteful number, since it uses less digits than its factorization.

3288831206400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 426 (or 391 counting only the distinct ones).

The product of its (nonzero) digits is 442368, while the sum is 45.

The spelling of 3288831206400 in words is "three trillion, two hundred eighty-eight billion, eight hundred thirty-one million, two hundred six thousand, four hundred".