3920617731744 has 288 divisors, whose sum is σ = 12986296202880. Its totient is φ = 1098904320000.

The previous prime is 3920617731733. The next prime is 3920617731773. The reversal of 3920617731744 is 4471377160293.

It is a happy number.

3920617731744 is a `hidden beast` number, since 3 + 9 + 2 + 0 + 617 + 7 + 3 + 17 + 4 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

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, 22105819 + ... + 22282469.

It is an arithmetic number, because the mean of its divisors is an integer number (45091306260).

Almost surely, 2^{3920617731744} 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 3920617731744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6493148101440).

3920617731744 is an abundant number, since it is smaller than the sum of its proper divisors (9065678471136).

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

3920617731744 is a wasteful number, since it uses less digits than its factorization.

3920617731744 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 176884 (or 176873 counting only the distinct ones).

The product of its (nonzero) digits is 5334336, while the sum is 54.

The spelling of 3920617731744 in words is "three trillion, nine hundred twenty billion, six hundred seventeen million, seven hundred thirty-one thousand, seven hundred forty-four".