3931435872 has 384 divisors, whose sum is σ = 14577131520. Its totient is φ = 1002792960.

The previous prime is 3931435867. The next prime is 3931435877. The reversal of 3931435872 is 2785341393.

3931435872 is a `hidden beast` number, since 39 + 31 + 4 + 3 + 587 + 2 = 666.

3931435872 is digitally balanced in base 2 and base 4, because in such bases 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 (3931435867) and next prime (3931435877).

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3931435877) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2436538 + ... + 2438150.

It is an arithmetic number, because the mean of its divisors is an integer number (37961280).

Almost surely, 2^3931435872 is an apocalyptic number.

3931435872 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 3931435872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7288565760).

3931435872 is an abundant number, since it is smaller than the sum of its proper divisors (10645695648).

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

3931435872 is a wasteful number, since it uses less digits than its factorization.

3931435872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1683 (or 1669 counting only the distinct ones).

The product of its digits is 544320, while the sum is 45.

The square root of 3931435872 is about 62701.1632427980. The cubic root of 3931435872 is about 1578.2788328855.

The spelling of 3931435872 in words is "three billion, nine hundred thirty-one million, four hundred thirty-five thousand, eight hundred seventy-two".