3329807972400 has 2400 divisors, whose sum is σ = 16083258605568. Its totient is φ = 639597772800.

The previous prime is 3329807972339. The next prime is 3329807972419. The reversal of 3329807972400 is 42797089233.

3329807972400 is a `hidden beast` number, since 3 + 3 + 29 + 80 + 79 + 72 + 400 = 666.

It is a super-2 number, since 2×3329807972400² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 479 ways as a sum of consecutive naturals, for example, 1553805729 + ... + 1553807871.

Almost surely, 2^{3329807972400} is an apocalyptic number.

3329807972400 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 3329807972400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8041629302784).

3329807972400 is an abundant number, since it is smaller than the sum of its proper divisors (12753450633168).

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

3329807972400 is a wasteful number, since it uses less digits than its factorization.

3329807972400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2241 (or 2221 counting only the distinct ones).

The product of its (nonzero) digits is 4572288, while the sum is 54.

The spelling of 3329807972400 in words is "three trillion, three hundred twenty-nine billion, eight hundred seven million, nine hundred seventy-two thousand, four hundred".