334253053400 has 48 divisors (see below), whose sum is σ = 888158117040. Its totient is φ = 114601046400.

The previous prime is 334253053363. The next prime is 334253053439. The reversal of 334253053400 is 4350352433.

It is a super-3 number, since 3×334253053400³ (a number of 36 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 119374691 + ... + 119377490.

It is an arithmetic number, because the mean of its divisors is an integer number (18503294105).

Almost surely, 2^334253053400 is an apocalyptic number.

It is an amenable number.

334253053400 is an abundant number, since it is smaller than the sum of its proper divisors (553905063640).

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

334253053400 is a wasteful number, since it uses less digits than its factorization.

334253053400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 238752204 (or 238752195 counting only the distinct ones).

The product of its (nonzero) digits is 64800, while the sum is 32.

The spelling of 334253053400 in words is "three hundred thirty-four billion, two hundred fifty-three million, fifty-three thousand, four hundred".