3996312579000 has 1024 divisors, whose sum is σ = 17204428800000. Its totient is φ = 837428544000.

The previous prime is 3996312578971. The next prime is 3996312579013. The reversal of 3996312579000 is 9752136993.

It is a happy number.

3996312579000 is a `hidden beast` number, since 3 + 9 + 9 + 63 + 1 + 2 + 579 + 0 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 111303051 + ... + 111338949.

It is an arithmetic number, because the mean of its divisors is an integer number (16801200000).

Almost surely, 2^{3996312579000} is an apocalyptic number.

3996312579000 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 3996312579000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8602214400000).

3996312579000 is an abundant number, since it is smaller than the sum of its proper divisors (13208116221000).

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

3996312579000 is a wasteful number, since it uses less digits than its factorization.

3996312579000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35986 (or 35966 counting only the distinct ones).

The product of its (nonzero) digits is 2755620, while the sum is 54.

The spelling of 3996312579000 in words is "three trillion, nine hundred ninety-six billion, three hundred twelve million, five hundred seventy-nine thousand".