3321801230400 has 672 divisors, whose sum is σ = 12598883778560. Its totient is φ = 850445568000.

The previous prime is 3321801230387. The next prime is 3321801230437. The reversal of 3321801230400 is 40321081233.

3321801230400 is a `hidden beast` number, since 3 + 3 + 21 + 8 + 0 + 1 + 230 + 400 = 666.

It is a super-2 number, since 2×3321801230400² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

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, 170068635 + ... + 170088165.

Almost surely, 2^{3321801230400} is an apocalyptic number.

3321801230400 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 3321801230400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6299441889280).

3321801230400 is an abundant number, since it is smaller than the sum of its proper divisors (9277082548160).

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

3321801230400 is a wasteful number, since it uses less digits than its factorization.

3321801230400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19720 (or 19699 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The spelling of 3321801230400 in words is "three trillion, three hundred twenty-one billion, eight hundred one million, two hundred thirty thousand, four hundred".