3999184079436 has 576 divisors, whose sum is σ = 13101178388480. Its totient is φ = 1038582155520.

The previous prime is 3999184079399. The next prime is 3999184079441. The reversal of 3999184079436 is 6349704819993.

3999184079436 is a `hidden beast` number, since 3 + 9 + 9 + 9 + 184 + 0 + 7 + 9 + 436 = 666.

It is a Smith number, since the sum of its digits (72) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 4409243295 + ... + 4409244201.

Almost surely, 2^{3999184079436} is an apocalyptic number.

3999184079436 is a gapful number since it is divisible by the number (36) 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 3999184079436, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6550589194240).

3999184079436 is an abundant number, since it is smaller than the sum of its proper divisors (9101994309044).

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

3999184079436 is a wasteful number, since it uses less digits than its factorization.

3999184079436 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1656 (or 1642 counting only the distinct ones).

The product of its (nonzero) digits is 317447424, while the sum is 72.

The spelling of 3999184079436 in words is "three trillion, nine hundred ninety-nine billion, one hundred eighty-four million, seventy-nine thousand, four hundred thirty-six".