3956631120 has 240 divisors, whose sum is σ = 14932794240. Its totient is φ = 931544064.

The previous prime is 3956631109. The next prime is 3956631131. The reversal of 3956631120 is 211366593.

3956631120 is a `hidden beast` number, since 3 + 9 + 5 + 6 + 631 + 12 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (3956631109) and next prime (3956631131).

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 206091 + ... + 224469.

It is an arithmetic number, because the mean of its divisors is an integer number (62219976).

Almost surely, 2^3956631120 is an apocalyptic number.

3956631120 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 3956631120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7466397120).

3956631120 is an abundant number, since it is smaller than the sum of its proper divisors (10976163120).

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

3956631120 is a wasteful number, since it uses less digits than its factorization.

3956631120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18434 (or 18425 counting only the distinct ones).

The product of its (nonzero) digits is 29160, while the sum is 36.

The square root of 3956631120 is about 62901.7576860933. The cubic root of 3956631120 is about 1581.6432084772.

The spelling of 3956631120 in words is "three billion, nine hundred fifty-six million, six hundred thirty-one thousand, one hundred twenty".