3827644704 has 72 divisors (see below), whose sum is σ = 11722173372. Its totient is φ = 1177735680.

The previous prime is 3827644687. The next prime is 3827644727. The reversal of 3827644704 is 4074467283.

It can be written as a sum of positive squares in 2 ways, for example, as 3752787600 + 74857104 = 61260^2 + 8652^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a self number, because there is not a number n which added to its sum of digits gives 3827644704.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 507427 + ... + 514914.

Almost surely, 2^3827644704 is an apocalyptic number.

It is an amenable number.

3827644704 is an abundant number, since it is smaller than the sum of its proper divisors (7894528668).

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

3827644704 is a wasteful number, since it uses less digits than its factorization.

3827644704 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1022370 (or 1022359 counting only the distinct ones).

The product of its (nonzero) digits is 903168, while the sum is 45.

The square root of 3827644704 is about 61867.9618542586. The cubic root of 3827644704 is about 1564.2657607048.

The spelling of 3827644704 in words is "three billion, eight hundred twenty-seven million, six hundred forty-four thousand, seven hundred four".