3965367250944 has 624 divisors, whose sum is σ = 12806408850144. Its totient is φ = 1172098252800.

The previous prime is 3965367250903. The next prime is 3965367250951. The reversal of 3965367250944 is 4490527635693.

3965367250944 is a `hidden beast` number, since 3 + 9 + 6 + 53 + 6 + 72 + 509 + 4 + 4 = 666.

It is a super-2 number, since 2×3965367250944² (a number of 26 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2871373134 + ... + 2871374514.

It is an arithmetic number, because the mean of its divisors is an integer number (20523091106).

Almost surely, 2^{3965367250944} 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 3965367250944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6403204425072).

3965367250944 is an abundant number, since it is smaller than the sum of its proper divisors (8841041599200).

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

3965367250944 is a wasteful number, since it uses less digits than its factorization.

3965367250944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1592 (or 1567 counting only the distinct ones).

The product of its (nonzero) digits is 146966400, while the sum is 63.

The spelling of 3965367250944 in words is "three trillion, nine hundred sixty-five billion, three hundred sixty-seven million, two hundred fifty thousand, nine hundred forty-four".