334000000800 has 216 divisors, whose sum is σ = 1221389232336. Its totient is φ = 89066615040.

The previous prime is 334000000783. The next prime is 334000000853. The reversal of 334000000800 is 8000000433.

It is a tau number, because it is divible by the number of its divisors (216).

It is a super-2 number, since 2×334000000800² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 664654 + ... + 1053453.

Almost surely, 2^334000000800 is an apocalyptic number.

334000000800 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

334000000800 is an abundant number, since it is smaller than the sum of its proper divisors (887389231536).

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

334000000800 is a wasteful number, since it uses less digits than its factorization.

334000000800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1718142 (or 1718117 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The spelling of 334000000800 in words is "three hundred thirty-four billion, eight hundred", and thus it is an aban number.