3920137740288 has 1344 divisors, whose sum is σ = 15103857300480. Its totient is φ = 948436992000.

The previous prime is 3920137740263. The next prime is 3920137740293. The reversal of 3920137740288 is 8820477310293.

3920137740288 is a `hidden beast` number, since 3 + 9 + 20 + 137 + 7 + 402 + 88 = 666.

It is a tau number, because it is divible by the number of its divisors (1344).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 14573002618 + ... + 14573002886.

Almost surely, 2^{3920137740288} 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 3920137740288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7551928650240).

3920137740288 is an abundant number, since it is smaller than the sum of its proper divisors (11183719560192).

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

3920137740288 is a wasteful number, since it uses less digits than its factorization.

3920137740288 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 487 (or 460 counting only the distinct ones).

The product of its (nonzero) digits is 4064256, while the sum is 54.

The spelling of 3920137740288 in words is "three trillion, nine hundred twenty billion, one hundred thirty-seven million, seven hundred forty thousand, two hundred eighty-eight".