3813792160 has 24 divisors (see below), whose sum is σ = 9010084356. Its totient is φ = 1525516800.

The previous prime is 3813792139. The next prime is 3813792181. The reversal of 3813792160 is 612973183.

It is an interprime number because it is at equal distance from previous prime (3813792139) and next prime (3813792181).

It can be written as a sum of positive squares in 2 ways, for example, as 3691291536 + 122500624 = 60756^2 + 11068^2 .

It is a Smith number, since the sum of its digits (40) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 11917941 + ... + 11918260.

Almost surely, 2^3813792160 is an apocalyptic number.

It is an amenable number.

3813792160 is an abundant number, since it is smaller than the sum of its proper divisors (5196292196).

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

3813792160 is a wasteful number, since it uses less digits than its factorization.

3813792160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23836216 (or 23836208 counting only the distinct ones).

The product of its (nonzero) digits is 54432, while the sum is 40.

The square root of 3813792160 is about 61755.9078955204. The cubic root of 3813792160 is about 1562.3764131371.

The spelling of 3813792160 in words is "three billion, eight hundred thirteen million, seven hundred ninety-two thousand, one hundred sixty".