3956142532608 has 768 divisors, whose sum is σ = 14927867136000. Its totient is φ = 1007813394432.

The previous prime is 3956142532607. The next prime is 3956142532669. The reversal of 3956142532608 is 8062352416593.

It is a happy number.

3956142532608 is a `hidden beast` number, since 3 + 9 + 5 + 6 + 1 + 4 + 25 + 3 + 2 + 608 = 666.

It is a tau number, because it is divible by the number of its divisors (768).

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

It is not an unprimeable number, because it can be changed into a prime (3956142532607) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 125008435 + ... + 125040077.

It is an arithmetic number, because the mean of its divisors is an integer number (19437327000).

Almost surely, 2^{3956142532608} is an apocalyptic number.

3956142532608 is a gapful number since it is divisible by the number (38) 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 3956142532608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7463933568000).

3956142532608 is an abundant number, since it is smaller than the sum of its proper divisors (10971724603392).

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

3956142532608 is a wasteful number, since it uses less digits than its factorization.

3956142532608 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31717 (or 31691 counting only the distinct ones).

The product of its (nonzero) digits is 9331200, while the sum is 54.

The spelling of 3956142532608 in words is "three trillion, nine hundred fifty-six billion, one hundred forty-two million, five hundred thirty-two thousand, six hundred eight".