3975791040 has 896 divisors, whose sum is σ = 16795699200. Its totient is φ = 886837248.

The previous prime is 3975790991. The next prime is 3975791041. The reversal of 3975791040 is 401975793.

3975791040 is a `hidden beast` number, since 39 + 7 + 579 + 1 + 0 + 40 = 666.

3975791040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3975791041) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 172860469 + ... + 172860491.

It is an arithmetic number, because the mean of its divisors is an integer number (18745200).

Almost surely, 2^3975791040 is an apocalyptic number.

3975791040 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 3975791040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8397849600).

3975791040 is an abundant number, since it is smaller than the sum of its proper divisors (12819908160).

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

3975791040 is a wasteful number, since it uses less digits than its factorization.

3975791040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 93 (or 65 counting only the distinct ones).

The product of its (nonzero) digits is 238140, while the sum is 45.

The square root of 3975791040 is about 63053.8741077818. The cubic root of 3975791040 is about 1584.1921254562.

The spelling of 3975791040 in words is "three billion, nine hundred seventy-five million, seven hundred ninety-one thousand, forty".