3975371040 has 192 divisors, whose sum is σ = 13013602560. Its totient is φ = 1018859520.

The previous prime is 3975371033. The next prime is 3975371041. The reversal of 3975371040 is 401735793.

It is a happy number.

3975371040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 3975371040.

It is not an unprimeable number, because it can be changed into a prime (3975371041) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3855325 + ... + 3856355.

It is an arithmetic number, because the mean of its divisors is an integer number (67779180).

Almost surely, 2^3975371040 is an apocalyptic number.

3975371040 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 3975371040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6506801280).

3975371040 is an abundant number, since it is smaller than the sum of its proper divisors (9038231520).

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

3975371040 is a wasteful number, since it uses less digits than its factorization.

3975371040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1355 (or 1347 counting only the distinct ones).

The product of its (nonzero) digits is 79380, while the sum is 39.

The square root of 3975371040 is about 63050.5435345327. The cubic root of 3975371040 is about 1584.1363391471.

The spelling of 3975371040 in words is "three billion, nine hundred seventy-five million, three hundred seventy-one thousand, forty".