3313345204400 has 240 divisors, whose sum is σ = 9929233559808. Its totient is φ = 1032243072000.

The previous prime is 3313345204399. The next prime is 3313345204441. The reversal of 3313345204400 is 44025433133.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 68136095 + ... + 68184705.

Almost surely, 2^{3313345204400} 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 3313345204400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4964616779904).

3313345204400 is an abundant number, since it is smaller than the sum of its proper divisors (6615888355408).

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

3313345204400 is a wasteful number, since it uses less digits than its factorization.

3313345204400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 50860 (or 50849 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 32.

The spelling of 3313345204400 in words is "three trillion, three hundred thirteen billion, three hundred forty-five million, two hundred four thousand, four hundred".