3975954855936 has 1536 divisors, whose sum is σ = 14347055923200. Its totient is φ = 951928750080.

The previous prime is 3975954855911. The next prime is 3975954856009. The reversal of 3975954855936 is 6395584595793.

It is a tau number, because it is divible by the number of its divisors (1536).

Its product of digits (5511240000) is a multiple of the sum of its prime divisors (375).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 15117698941 + ... + 15117699203.

It is an arithmetic number, because the mean of its divisors is an integer number (9340531200).

Almost surely, 2^{3975954855936} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3975954855936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7173527961600).

3975954855936 is an abundant number, since it is smaller than the sum of its proper divisors (10371101067264).

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

3975954855936 is a wasteful number, since it uses less digits than its factorization.

3975954855936 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 395 (or 375 counting only the distinct ones).

The product of its digits is 5511240000, while the sum is 78.

The spelling of 3975954855936 in words is "three trillion, nine hundred seventy-five billion, nine hundred fifty-four million, eight hundred fifty-five thousand, nine hundred thirty-six".