3706968672 has 96 divisors (see below), whose sum is σ = 11794930560. Its totient is φ = 1123320960.

The previous prime is 3706968667. The next prime is 3706968679. The reversal of 3706968672 is 2768696073.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3706968679) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 185518 + ... + 204525.

It is an arithmetic number, because the mean of its divisors is an integer number (122863860).

Almost surely, 2^3706968672 is an apocalyptic number.

3706968672 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

3706968672 is an abundant number, since it is smaller than the sum of its proper divisors (8087961888).

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

3706968672 is a wasteful number, since it uses less digits than its factorization.

3706968672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 390073 (or 390059 counting only the distinct ones).

The product of its (nonzero) digits is 4572288, while the sum is 54.

The square root of 3706968672 is about 60884.8804876876. The cubic root of 3706968672 is about 1547.6507835535.

The spelling of 3706968672 in words is "three billion, seven hundred six million, nine hundred sixty-eight thousand, six hundred seventy-two".