3321398534400 has 162 divisors, whose sum is σ = 11874749587610. Its totient is φ = 885706260480.

The previous prime is 3321398534359. The next prime is 3321398534411. The reversal of 3321398534400 is 44358931233.

3321398534400 is a `hidden beast` number, since 3 + 3 + 2 + 139 + 85 + 34 + 400 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 23503104 + 3321375031296 = 4848^2 + 1822464^2 .

It is a super-2 number, since 2×3321398534400² (a number of 26 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 28773985 + ... + 28889184.

Almost surely, 2^{3321398534400} is an apocalyptic number.

3321398534400 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3321398534400 is an abundant number, since it is smaller than the sum of its proper divisors (8553351053210).

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

3321398534400 is a wasteful number, since it uses less digits than its factorization.

3321398534400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 57663201 (or 57663179 counting only the distinct ones).

The product of its (nonzero) digits is 933120, while the sum is 45.

The spelling of 3321398534400 in words is "three trillion, three hundred twenty-one billion, three hundred ninety-eight million, five hundred thirty-four thousand, four hundred".