3896465664 has 288 divisors, whose sum is σ = 12893224960. Its totient is φ = 1017225216.

The previous prime is 3896465659. The next prime is 3896465687. The reversal of 3896465664 is 4665646983.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8875557 + ... + 8875995.

Almost surely, 2^3896465664 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 3896465664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6446612480).

3896465664 is an abundant number, since it is smaller than the sum of its proper divisors (8996759296).

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

3896465664 is a wasteful number, since it uses less digits than its factorization.

3896465664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 605 (or 591 counting only the distinct ones).

The product of its digits is 22394880, while the sum is 57.

The square root of 3896465664 is about 62421.6762351028. The cubic root of 3896465664 is about 1573.5852806007.

The spelling of 3896465664 in words is "three billion, eight hundred ninety-six million, four hundred sixty-five thousand, six hundred sixty-four".