334428576804 has 189 divisors, whose sum is σ = 989775737041. Its totient is φ = 95210982720.

The previous prime is 334428576799. The next prime is 334428576821. The reversal of 334428576804 is 408675824433.

The square root of 334428576804 is 578298.

It is a perfect power (a square), and thus also a powerful number.

334428576804 is a `hidden beast` number, since 3 + 3 + 44 + 28 + 576 + 8 + 0 + 4 = 666.

It can be written as a sum of positive squares in only one way, i.e., 226003258404 + 108425318400 = 475398^2 + 329280^2 .

It is a super-2 number, since 2×334428576804² (a number of 24 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 62 ways as a sum of consecutive naturals, for example, 1190137144 + ... + 1190137424.

Almost surely, 2^334428576804 is an apocalyptic number.

334428576804 is the 578298-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 334428576804

334428576804 is an abundant number, since it is smaller than the sum of its proper divisors (655347160237).

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

334428576804 is an frugal number, since it uses more digits than its factorization.

334428576804 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 614 (or 293 counting only the distinct ones).

The product of its (nonzero) digits is 15482880, while the sum is 54.

The spelling of 334428576804 in words is "three hundred thirty-four billion, four hundred twenty-eight million, five hundred seventy-six thousand, eight hundred four".