334872912200 has 324 divisors, whose sum is σ = 867020065665. Its totient is φ = 120256030720.

The previous prime is 334872912197. The next prime is 334872912211. The reversal of 334872912200 is 2219278433.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 14 ways, for example, as 10490266084 + 324382646116 = 102422^2 + 569546^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=409190.

It is a super-2 number, since 2×334872912200² (a number of 24 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 4034613359 + ... + 4034613441.

Almost surely, 2^334872912200 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 334872912200

334872912200 is an abundant number, since it is smaller than the sum of its proper divisors (532147153465).

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

334872912200 is a wasteful number, since it uses less digits than its factorization.

334872912200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 274 (or 136 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 41.

The spelling of 334872912200 in words is "three hundred thirty-four billion, eight hundred seventy-two million, nine hundred twelve thousand, two hundred".