3977920512 has 180 divisors, whose sum is σ = 11731241340. Its totient is φ = 1298399232.

The previous prime is 3977920493. The next prime is 3977920553. The reversal of 3977920512 is 2150297793.

It can be written as a sum of positive squares in 2 ways, for example, as 3057647616 + 920272896 = 55296^2 + 30336^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 7814914 + ... + 7815422.

It is an arithmetic number, because the mean of its divisors is an integer number (65173563).

Almost surely, 2^3977920512 is an apocalyptic number.

3977920512 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3977920512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5865620670).

3977920512 is an abundant number, since it is smaller than the sum of its proper divisors (7753320828).

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

3977920512 is an equidigital number, since it uses as much as digits as its factorization.

3977920512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 596 (or 567 counting only the distinct ones).

The product of its (nonzero) digits is 238140, while the sum is 45.

The square root of 3977920512 is about 63070.7579786386. The cubic root of 3977920512 is about 1584.4749111650.

The spelling of 3977920512 in words is "three billion, nine hundred seventy-seven million, nine hundred twenty thousand, five hundred twelve".