334434640400 has 60 divisors (see below), whose sum is σ = 918261977472. Its totient is φ = 114663304320.

The previous prime is 334434640387. The next prime is 334434640427. The reversal of 334434640400 is 4046434433.

It is a super-2 number, since 2×334434640400² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (35).

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, 59717672 + ... + 59723271.

Almost surely, 2^334434640400 is an apocalyptic number.

It is an amenable number.

334434640400 is an abundant number, since it is smaller than the sum of its proper divisors (583827337072).

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

334434640400 is a wasteful number, since it uses less digits than its factorization.

334434640400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 119440968 (or 119440957 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 35.

The spelling of 334434640400 in words is "three hundred thirty-four billion, four hundred thirty-four million, six hundred forty thousand, four hundred".