3971582320 has 40 divisors (see below), whose sum is σ = 9240480000. Its totient is φ = 1587505920.

The previous prime is 3971582299. The next prime is 3971582323. The reversal of 3971582320 is 232851793.

3971582320 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-2 number, since 2×3971582320² = 31546932249073164800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3971582323) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 100806 + ... + 134554.

It is an arithmetic number, because the mean of its divisors is an integer number (231012000).

Almost surely, 2^3971582320 is an apocalyptic number.

It is an amenable number.

3971582320 is an abundant number, since it is smaller than the sum of its proper divisors (5268897680).

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

3971582320 is a wasteful number, since it uses less digits than its factorization.

3971582320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35233 (or 35227 counting only the distinct ones).

The product of its (nonzero) digits is 90720, while the sum is 40.

The square root of 3971582320 is about 63020.4912706970. The cubic root of 3971582320 is about 1583.6329264540.

The spelling of 3971582320 in words is "three billion, nine hundred seventy-one million, five hundred eighty-two thousand, three hundred twenty".