3812405664 has 144 divisors (see below), whose sum is σ = 10722608064. Its totient is φ = 1185254400.

The previous prime is 3812405581. The next prime is 3812405677. The reversal of 3812405664 is 4665042183.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2081229 + ... + 2083059.

It is an arithmetic number, because the mean of its divisors is an integer number (74462556).

Almost surely, 2^3812405664 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 3812405664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5361304032).

3812405664 is an abundant number, since it is smaller than the sum of its proper divisors (6910202400).

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

3812405664 is a wasteful number, since it uses less digits than its factorization.

3812405664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1931 (or 1900 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 39.

The square root of 3812405664 is about 61744.6812608179. The cubic root of 3812405664 is about 1562.1870573185.

The spelling of 3812405664 in words is "three billion, eight hundred twelve million, four hundred five thousand, six hundred sixty-four".