3328625664 has 616 divisors, whose sum is σ = 12529277600. Its totient is φ = 877879296.

The previous prime is 3328625639. The next prime is 3328625689. The reversal of 3328625664 is 4665268233.

It is a happy number.

3328625664 is a `hidden beast` number, since 3 + 3 + 2 + 86 + 2 + 566 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (3328625639) and next prime (3328625689).

It is a super-2 number, since 2×3328625664² = 22159497622078881792, which contains 22 as substring.

Its product of digits (1244160) is a multiple of the sum of its prime factors (72).

It is an unprimeable number.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 256048122 + ... + 256048134.

Almost surely, 2^3328625664 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 3328625664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6264638800).

3328625664 is an abundant number, since it is smaller than the sum of its proper divisors (9200651936).

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

3328625664 is an frugal number, since it uses more digits than its factorization.

3328625664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 72 (or 25 counting only the distinct ones).

The product of its digits is 1244160, while the sum is 45.

The square root of 3328625664 is about 57694.2429016969. The cubic root of 3328625664 is about 1493.0980184773.

The spelling of 3328625664 in words is "three billion, three hundred twenty-eight million, six hundred twenty-five thousand, six hundred sixty-four".