3973856832 has 504 divisors, whose sum is σ = 13617659328. Its totient is φ = 1103984640.

The previous prime is 3973856827. The next prime is 3973856833. The reversal of 3973856832 is 2386583793.

3973856832 is a `hidden beast` number, since 3 + 9 + 73 + 8 + 568 + 3 + 2 = 666.

3973856832 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (3973856833) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 59311263 + ... + 59311329.

Almost surely, 2^3973856832 is an apocalyptic number.

3973856832 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 3973856832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6808829664).

3973856832 is an abundant number, since it is smaller than the sum of its proper divisors (9643802496).

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

3973856832 is a wasteful number, since it uses less digits than its factorization.

3973856832 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 167 (or 143 counting only the distinct ones).

The product of its digits is 6531840, while the sum is 54.

The square root of 3973856832 is about 63038.5345007322. The cubic root of 3973856832 is about 1583.9351825329.

The spelling of 3973856832 in words is "three billion, nine hundred seventy-three million, eight hundred fifty-six thousand, eight hundred thirty-two".