334068400 has 120 divisors (see below), whose sum is σ = 857980800. Its totient is φ = 124723200.

The previous prime is 334068373. The next prime is 334068401. The reversal of 334068400 is 4860433.

It is a super-2 number, since 2×334068400² = 223203391757120000, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (334068401) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 359136 + ... + 360064.

It is an arithmetic number, because the mean of its divisors is an integer number (7149840).

Almost surely, 2^334068400 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 334068400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (428990400).

334068400 is an abundant number, since it is smaller than the sum of its proper divisors (523912400).

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

334068400 is a wasteful number, since it uses less digits than its factorization.

334068400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1007 (or 996 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 28.

The square root of 334068400 is about 18277.5381274394. The cubic root of 334068400 is about 693.8705669306.

It can be divided in two parts, 3340 and 68400, that multiplied together give a triangular number (228456000 = T₂₁₃₇₅).

The spelling of 334068400 in words is "three hundred thirty-four million, sixty-eight thousand, four hundred".