3937968000 has 768 divisors, whose sum is σ = 15638313600. Its totient is φ = 946176000.

The previous prime is 3937967989. The next prime is 3937968011. The reversal of 3937968000 is 8697393.

It is a happy number.

3937968000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (3937967989) and next prime (3937968011).

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 95 ways as a sum of consecutive naturals, for example, 96047980 + ... + 96048020.

Almost surely, 2^3937968000 is an apocalyptic number.

3937968000 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 3937968000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7819156800).

3937968000 is an abundant number, since it is smaller than the sum of its proper divisors (11700345600).

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

3937968000 is a wasteful number, since it uses less digits than its factorization.

3937968000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 128 (or 103 counting only the distinct ones).

The product of its (nonzero) digits is 244944, while the sum is 45.

The square root of 3937968000 is about 62753.2309925154. The cubic root of 3937968000 is about 1579.1524589735.

The spelling of 3937968000 in words is "three billion, nine hundred thirty-seven million, nine hundred sixty-eight thousand".