3996007200000 has 648 divisors, whose sum is σ = 14736967461216. Its totient is φ = 1040739840000.

The previous prime is 3996007199981. The next prime is 3996007200047. The reversal of 3996007200000 is 27006993.

3996007200000 is a `hidden beast` number, since 399 + 60 + 0 + 7 + 200 + 0 + 0 + 0 = 666.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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 71 ways as a sum of consecutive naturals, for example, 309593547 + ... + 309606453.

Almost surely, 2^{3996007200000} is an apocalyptic number.

3996007200000 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 3996007200000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7368483730608).

3996007200000 is an abundant number, since it is smaller than the sum of its proper divisors (10740960261216).

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

3996007200000 is an equidigital number, since it uses as much as digits as its factorization.

3996007200000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12997 (or 12960 counting only the distinct ones).

The product of its (nonzero) digits is 20412, while the sum is 36.

The spelling of 3996007200000 in words is "three trillion, nine hundred ninety-six billion, seven million, two hundred thousand".