3971591040 has 256 divisors, whose sum is σ = 13324953600. Its totient is φ = 1004789760.

The previous prime is 3971591023. The next prime is 3971591081. The reversal of 3971591040 is 401951793.

It is a happy number.

3971591040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a hoax number, since the sum of its digits (39) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 3971591040.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3153931 + ... + 3155189.

It is an arithmetic number, because the mean of its divisors is an integer number (52050600).

Almost surely, 2^3971591040 is an apocalyptic number.

3971591040 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 3971591040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6662476800).

3971591040 is an abundant number, since it is smaller than the sum of its proper divisors (9353362560).

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

3971591040 is a wasteful number, since it uses less digits than its factorization.

3971591040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1365 (or 1353 counting only the distinct ones).

The product of its (nonzero) digits is 34020, while the sum is 39.

The square root of 3971591040 is about 63020.5604545056. The cubic root of 3971591040 is about 1583.6340854605.

The spelling of 3971591040 in words is "three billion, nine hundred seventy-one million, five hundred ninety-one thousand, forty".