3937748672 has 168 divisors, whose sum is σ = 9638507520. Its totient is φ = 1579269120.

The previous prime is 3937748657. The next prime is 3937748707. The reversal of 3937748672 is 2768477393.

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, 2735729 + ... + 2737167.

Almost surely, 2^3937748672 is an apocalyptic number.

3937748672 is a gapful number since it is divisible by the number (32) 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 3937748672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4819253760).

3937748672 is an abundant number, since it is smaller than the sum of its proper divisors (5700758848).

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

3937748672 is a wasteful number, since it uses less digits than its factorization.

3937748672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1511 (or 1488 counting only the distinct ones).

The product of its digits is 10668672, while the sum is 56.

The square root of 3937748672 is about 62751.4834246968. The cubic root of 3937748672 is about 1579.1231410799.

The spelling of 3937748672 in words is "three billion, nine hundred thirty-seven million, seven hundred forty-eight thousand, six hundred seventy-two".