334577664 has 90 divisors (see below), whose sum is σ = 966954170. Its totient is φ = 111476736.

The previous prime is 334577647. The next prime is 334577687. The reversal of 334577664 is 466775433.

It can be written as a sum of positive squares in only one way, i.e., 201867264 + 132710400 = 14208^2 + 11520^2 .

It is a super-2 number, since 2×334577664² = 223884426495393792, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 146322 + ... + 148590.

Almost surely, 2^334577664 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 334577664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (483477085).

334577664 is an abundant number, since it is smaller than the sum of its proper divisors (632376506).

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

334577664 is an equidigital number, since it uses as much as digits as its factorization.

334577664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2303 (or 2274 counting only the distinct ones).

The product of its digits is 1270080, while the sum is 45.

The square root of 334577664 is about 18291.4642388192. The cubic root of 334577664 is about 694.2229736963. Note that the first 3 decimals are identical.

It can be divided in two parts, 334577 and 664, that added together give a square (335241 = 579²).

The spelling of 334577664 in words is "three hundred thirty-four million, five hundred seventy-seven thousand, six hundred sixty-four".