3356332654400 has 168 divisors, whose sum is σ = 9083928918720. Its totient is φ = 1220483827200.

The previous prime is 3356332654391. The next prime is 3356332654471. The reversal of 3356332654400 is 44562336533.

3356332654400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×3356332654400² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (44).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1341581 + ... + 2917619.

Almost surely, 2^{3356332654400} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3356332654400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4541964459360).

3356332654400 is an abundant number, since it is smaller than the sum of its proper divisors (5727596264320).

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

3356332654400 is a wasteful number, since it uses less digits than its factorization.

3356332654400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1576094 (or 1576057 counting only the distinct ones).

The product of its (nonzero) digits is 2332800, while the sum is 44.

The spelling of 3356332654400 in words is "three trillion, three hundred fifty-six billion, three hundred thirty-two million, six hundred fifty-four thousand, four hundred".