3365604672 has 112 divisors (see below), whose sum is σ = 9397593600. Its totient is φ = 1060093440.

The previous prime is 3365604661. The next prime is 3365604701. The reversal of 3365604672 is 2764065633.

It is a super-2 number, since 2×3365604672² = 22654589616376455168, 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 15 ways as a sum of consecutive naturals, for example, 1790229 + ... + 1792107.

Almost surely, 2^3365604672 is an apocalyptic number.

3365604672 is a gapful number since it is divisible by the number (32) 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 3365604672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4698796800).

3365604672 is an abundant number, since it is smaller than the sum of its proper divisors (6031988928).

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

3365604672 is a wasteful number, since it uses less digits than its factorization.

3365604672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2404 (or 2394 counting only the distinct ones).

The product of its (nonzero) digits is 544320, while the sum is 42.

The square root of 3365604672 is about 58013.8317300280. The cubic root of 3365604672 is about 1498.6068059631.

The spelling of 3365604672 in words is "three billion, three hundred sixty-five million, six hundred four thousand, six hundred seventy-two".