3992002560 has 1008 divisors, whose sum is σ = 18355382136. Its totient is φ = 792723456.

The previous prime is 3992002537. The next prime is 3992002561. The reversal of 3992002560 is 652002993.

3992002560 is a `hidden beast` number, since 3 + 9 + 92 + 0 + 0 + 2 + 560 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 3036450816 + 955551744 = 55104^2 + 30912^2 .

It is a tau number, because it is divible by the number of its divisors (1008).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (3992002561) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 234823672 + ... + 234823688.

Almost surely, 2^3992002560 is an apocalyptic number.

3992002560 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 3992002560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9177691068).

3992002560 is an abundant number, since it is smaller than the sum of its proper divisors (14363379576).

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

3992002560 is a wasteful number, since it uses less digits than its factorization.

3992002560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 81 (or 47 counting only the distinct ones).

The product of its (nonzero) digits is 29160, while the sum is 36.

The square root of 3992002560 is about 63182.2962545680. The cubic root of 3992002560 is about 1586.3424174015.

The spelling of 3992002560 in words is "three billion, nine hundred ninety-two million, two thousand, five hundred sixty".