3992977560 has 512 divisors, whose sum is σ = 15002910720. Its totient is φ = 836352000.

The previous prime is 3992977553. The next prime is 3992977601. The reversal of 3992977560 is 657792993.

It is a self number, because there is not a number n which added to its sum of digits gives 3992977560.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 26443485 + ... + 26443635.

It is an arithmetic number, because the mean of its divisors is an integer number (29302560).

Almost surely, 2^3992977560 is an apocalyptic number.

3992977560 is a gapful number since it is divisible by the number (30) 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 3992977560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7501455360).

3992977560 is an abundant number, since it is smaller than the sum of its proper divisors (11009933160).

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

3992977560 is a wasteful number, since it uses less digits than its factorization.

3992977560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 279 (or 275 counting only the distinct ones).

The product of its (nonzero) digits is 6429780, while the sum is 57.

The square root of 3992977560 is about 63190.0115524598. The cubic root of 3992977560 is about 1586.4715554244.

The spelling of 3992977560 in words is "three billion, nine hundred ninety-two million, nine hundred seventy-seven thousand, five hundred sixty".