3975550956 has 288 divisors, whose sum is σ = 12242630400. Its totient is φ = 1116944640.

The previous prime is 3975550933. The next prime is 3975550961. The reversal of 3975550956 is 6590555793.

It is a happy number.

3975550956 is a `hidden beast` number, since 39 + 7 + 5 + 550 + 9 + 56 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 6962151 + ... + 6962721.

Almost surely, 2^3975550956 is an apocalyptic number.

3975550956 is a gapful number since it is divisible by the number (36) 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 3975550956, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6121315200).

3975550956 is an abundant number, since it is smaller than the sum of its proper divisors (8267079444).

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

3975550956 is a wasteful number, since it uses less digits than its factorization.

3975550956 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 651 (or 637 counting only the distinct ones).

The product of its (nonzero) digits is 6378750, while the sum is 54.

The square root of 3975550956 is about 63051.9702784933. The cubic root of 3975550956 is about 1584.1602368891.

It can be divided in two parts, 3975 and 550956, that added together give a triangular number (554931 = T₁₀₅₃).

The spelling of 3975550956 in words is "three billion, nine hundred seventy-five million, five hundred fifty thousand, nine hundred fifty-six".