3390969254400 has 720 divisors, whose sum is σ = 14935852835904. Its totient is φ = 715455037440.

The previous prime is 3390969254341. The next prime is 3390969254483. The reversal of 3390969254400 is 44529690933.

3390969254400 is a `hidden beast` number, since 3 + 3 + 9 + 0 + 9 + 6 + 92 + 544 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

It is a super-2 number, since 2×3390969254400² (a number of 26 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 10321467 + ... + 10644933.

Almost surely, 2^{3390969254400} is an apocalyptic number.

3390969254400 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 3390969254400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7467926417952).

3390969254400 is an abundant number, since it is smaller than the sum of its proper divisors (11544883581504).

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

3390969254400 is a wasteful number, since it uses less digits than its factorization.

3390969254400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 323521 (or 323497 counting only the distinct ones).

The product of its (nonzero) digits is 6298560, while the sum is 54.

The spelling of 3390969254400 in words is "three trillion, three hundred ninety billion, nine hundred sixty-nine million, two hundred fifty-four thousand, four hundred".