334000800 has 432 divisors, whose sum is σ = 1410534720. Its totient is φ = 74718720.

The previous prime is 334000741. The next prime is 334000831. The reversal of 334000800 is 8000433.

It is a tau number, because it is divible by the number of its divisors (432).

It is a super-2 number, since 2×334000800² = 223113068801280000, which 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 pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 7106377 + ... + 7106423.

Almost surely, 2^334000800 is an apocalyptic number.

334000800 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 334000800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (705267360).

334000800 is an abundant number, since it is smaller than the sum of its proper divisors (1076533920).

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

334000800 is a wasteful number, since it uses less digits than its factorization.

334000800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 130 (or 64 counting only the distinct ones).

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

The square root of 334000800 is about 18275.6887695102. The cubic root of 334000800 is about 693.8237613318.

The spelling of 334000800 in words is "three hundred thirty-four million, eight hundred", and thus it is an aban number.