3992002560000 has 3060 divisors, whose sum is σ = 19115092128132. Its totient is φ = 792723456000.

The previous prime is 3992002559989. The next prime is 3992002560037. The reversal of 3992002560000 is 652002993.

3992002560000 is a `hidden beast` number, since 3 + 9 + 9 + 20 + 0 + 25 + 600 + 0 + 0 = 666.

It can be written as a sum of positive squares in 10 ways, for example, as 3224121901056 + 767880658944 = 1795584^2 + 876288^2 .

It is a tau number, because it is divible by the number of its divisors (3060).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 179 ways as a sum of consecutive naturals, for example, 234823679992 + ... + 234823680008.

Almost surely, 2^{3992002560000} is an apocalyptic number.

3992002560000 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 3992002560000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9557546064066).

3992002560000 is an abundant number, since it is smaller than the sum of its proper divisors (15123089568132).

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

3992002560000 is an equidigital number, since it uses as much as digits as its factorization.

3992002560000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 102 (or 47 counting only the distinct ones).

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

Adding to 3992002560000 its reverse (652002993), we get a palindrome (3992654562993).

The spelling of 3992002560000 in words is "three trillion, nine hundred ninety-two billion, two million, five hundred sixty thousand".