3992897579040 has 432 divisors, whose sum is σ = 14893876408320. Its totient is φ = 1008726981120.

The previous prime is 3992897578987. The next prime is 3992897579053. The reversal of 3992897579040 is 409757982993.

3992897579040 is a `hidden beast` number, since 3 + 9 + 9 + 2 + 8 + 9 + 7 + 579 + 0 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (432).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a self number, because there is not a number n which added to its sum of digits gives 3992897579040.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 19845345 + ... + 20045535.

It is an arithmetic number, because the mean of its divisors is an integer number (34476565760).

Almost surely, 2^{3992897579040} is an apocalyptic number.

3992897579040 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 3992897579040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7446938204160).

3992897579040 is an abundant number, since it is smaller than the sum of its proper divisors (10900978829280).

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

3992897579040 is an equidigital number, since it uses as much as digits as its factorization.

3992897579040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 200249 (or 200220 counting only the distinct ones).

The product of its (nonzero) digits is 308629440, while the sum is 72.

The spelling of 3992897579040 in words is "three trillion, nine hundred ninety-two billion, eight hundred ninety-seven million, five hundred seventy-nine thousand, forty".