3300345351504 has 60 divisors (see below), whose sum is σ = 9258427214400. Its totient is φ = 1097489524032.

The previous prime is 3300345351493. The next prime is 3300345351517. The reversal of 3300345351504 is 4051535430033.

3300345351504 is a `hidden beast` number, since 3 + 300 + 345 + 3 + 5 + 1 + 5 + 0 + 4 = 666.

It is a super-2 number, since 2×3300345351504² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 27289384 + ... + 27410055.

It is an arithmetic number, because the mean of its divisors is an integer number (154307120240).

Almost surely, 2^{3300345351504} is an apocalyptic number.

It is an amenable number.

3300345351504 is an abundant number, since it is smaller than the sum of its proper divisors (5958081862896).

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

3300345351504 is a wasteful number, since it uses less digits than its factorization.

3300345351504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 54699872 (or 54699863 counting only the distinct ones).

The product of its (nonzero) digits is 162000, while the sum is 36.

The spelling of 3300345351504 in words is "three trillion, three hundred billion, three hundred forty-five million, three hundred fifty-one thousand, five hundred four".