3936674160 has 120 divisors (see below), whose sum is σ = 13276560960. Its totient is φ = 1045341696.

The previous prime is 3936674153. The next prime is 3936674171. The reversal of 3936674160 is 614766393.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

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, 160642 + ... + 183518.

It is an arithmetic number, because the mean of its divisors is an integer number (110638008).

Almost surely, 2^3936674160 is an apocalyptic number.

3936674160 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3936674160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6638280480).

3936674160 is an abundant number, since it is smaller than the sum of its proper divisors (9339886800).

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

3936674160 is a wasteful number, since it uses less digits than its factorization.

3936674160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23135 (or 23126 counting only the distinct ones).

The product of its (nonzero) digits is 489888, while the sum is 45.

The square root of 3936674160 is about 62742.9211943467. The cubic root of 3936674160 is about 1578.9794937604.

It can be divided in two parts, 39366 and 74160, that added together give a triangular number (113526 = T₄₇₆).

The spelling of 3936674160 in words is "three billion, nine hundred thirty-six million, six hundred seventy-four thousand, one hundred sixty".