334668900 has 72 divisors (see below), whose sum is σ = 974937600. Its totient is φ = 88634240.

The previous prime is 334668877. The next prime is 334668923. The reversal of 334668900 is 9866433.

It is an interprime number because it is at equal distance from previous prime (334668877) and next prime (334668923).

It is a super-2 number, since 2×334668900² = 224006545254420000, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 40957 + ... + 48443.

It is an arithmetic number, because the mean of its divisors is an integer number (13540800).

Almost surely, 2^334668900 is an apocalyptic number.

334668900 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 334668900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (487468800).

334668900 is an abundant number, since it is smaller than the sum of its proper divisors (640268700).

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

334668900 is a wasteful number, since it uses less digits than its factorization.

334668900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7653 (or 7646 counting only the distinct ones).

The product of its (nonzero) digits is 93312, while the sum is 39.

The square root of 334668900 is about 18293.9580189745. The cubic root of 334668900 is about 694.2860705272.

The spelling of 334668900 in words is "three hundred thirty-four million, six hundred sixty-eight thousand, nine hundred".