334864800 has 288 divisors, whose sum is σ = 1246795200. Its totient is φ = 86676480.

The previous prime is 334864781. The next prime is 334864813. The reversal of 334864800 is 8468433.

334864800 is a `hidden beast` number, since 3 + 3 + 4 + 8 + 648 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×334864800² = 224268868558080000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 798991 + ... + 799409.

It is an arithmetic number, because the mean of its divisors is an integer number (4329150).

Almost surely, 2^334864800 is an apocalyptic number.

334864800 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 334864800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (623397600).

334864800 is an abundant number, since it is smaller than the sum of its proper divisors (911930400).

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

334864800 is a wasteful number, since it uses less digits than its factorization.

334864800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 485 (or 466 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 36.

The square root of 334864800 is about 18299.3114624567. The cubic root of 334864800 is about 694.4215119657.

The spelling of 334864800 in words is "three hundred thirty-four million, eight hundred sixty-four thousand, eight hundred".