334578816 has 256 divisors, whose sum is σ = 1161820800. Its totient is φ = 93450240.

The previous prime is 334578779. The next prime is 334578821. The reversal of 334578816 is 618875433.

It is a super-2 number, since 2×334578816² = 223885968231923712, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 493870 + ... + 494546.

Almost surely, 2^334578816 is an apocalyptic number.

334578816 is a gapful number since it is divisible by the number (36) 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 334578816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (580910400).

334578816 is an abundant number, since it is smaller than the sum of its proper divisors (827241984).

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

334578816 is a wasteful number, since it uses less digits than its factorization.

334578816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 724 (or 706 counting only the distinct ones).

The product of its digits is 483840, while the sum is 45.

The square root of 334578816 is about 18291.4957288900. The cubic root of 334578816 is about 694.2237704659.

The spelling of 334578816 in words is "three hundred thirty-four million, five hundred seventy-eight thousand, eight hundred sixteen".