3940525075968 has 2240 divisors, whose sum is σ = 14715210166272. Its totient is φ = 1040555704320.

The previous prime is 3940525075967. The next prime is 3940525075969. The reversal of 3940525075968 is 8695705250493.

3940525075968 is a `hidden beast` number, since 3 + 9 + 40 + 525 + 0 + 7 + 5 + 9 + 68 = 666.

It is an interprime number because it is at equal distance from previous prime (3940525075967) and next prime (3940525075969).

It is a super-2 number, since 2×3940525075968² (a number of 26 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3940525075967) by changing a digit.

It is a polite number, since it can be written in 223 ways as a sum of consecutive naturals, for example, 58813807071 + ... + 58813807137.

Almost surely, 2^{3940525075968} 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 3940525075968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7357605083136).

3940525075968 is an abundant number, since it is smaller than the sum of its proper divisors (10774685090304).

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

3940525075968 is a wasteful number, since it uses less digits than its factorization.

3940525075968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 187 (or 156 counting only the distinct ones).

The product of its (nonzero) digits is 81648000, while the sum is 63.

The spelling of 3940525075968 in words is "three trillion, nine hundred forty billion, five hundred twenty-five million, seventy-five thousand, nine hundred sixty-eight".