3350331993600 has 1080 divisors, whose sum is σ = 12645025717896. Its totient is φ = 846802944000.

The previous prime is 3350331993553. The next prime is 3350331993611. The reversal of 3350331993600 is 63991330533.

3350331993600 is a `hidden beast` number, since 3 + 3 + 5 + 0 + 3 + 31 + 9 + 9 + 3 + 600 = 666.

It is a super-2 number, since 2×3350331993600² (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 a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 5867481315 + ... + 5867481885.

Almost surely, 2^{3350331993600} is an apocalyptic number.

3350331993600 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 3350331993600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6322512858948).

3350331993600 is an abundant number, since it is smaller than the sum of its proper divisors (9294693724296).

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

3350331993600 is a wasteful number, since it uses less digits than its factorization.

3350331993600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 720 (or 665 counting only the distinct ones).

The product of its (nonzero) digits is 590490, while the sum is 45.

The spelling of 3350331993600 in words is "three trillion, three hundred fifty billion, three hundred thirty-one million, nine hundred ninety-three thousand, six hundred".