334376640 has 336 divisors, whose sum is σ = 1282903200. Its totient is φ = 81948672.

The previous prime is 334376639. The next prime is 334376663. The reversal of 334376640 is 46673433.

334376640 is a `hidden beast` number, since 3 + 3 + 4 + 3 + 7 + 6 + 640 = 666.

It is a super-2 number, since 2×334376640² = 223615474755379200, which contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 334376595 and 334376604.

It is a congruent number.

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, 1460046 + ... + 1460274.

Almost surely, 2^334376640 is an apocalyptic number.

334376640 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 334376640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (641451600).

334376640 is an abundant number, since it is smaller than the sum of its proper divisors (948526560).

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

334376640 is a wasteful number, since it uses less digits than its factorization.

334376640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 281 (or 252 counting only the distinct ones).

The product of its (nonzero) digits is 108864, while the sum is 36.

The square root of 334376640 is about 18285.9683910916. The cubic root of 334376640 is about 694.0839093842.

The spelling of 334376640 in words is "three hundred thirty-four million, three hundred seventy-six thousand, six hundred forty".