3984632169024 has 224 divisors, whose sum is σ = 11634293784960. Its totient is φ = 1195753881600.

The previous prime is 3984632169019. The next prime is 3984632169031. The reversal of 3984632169024 is 4209612364893.

It is a super-2 number, since 2×3984632169024² (a number of 26 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (57) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 635605762 + ... + 635612030.

It is an arithmetic number, because the mean of its divisors is an integer number (51938811540).

Almost surely, 2^{3984632169024} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3984632169024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5817146892480).

3984632169024 is an abundant number, since it is smaller than the sum of its proper divisors (7649661615936).

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

3984632169024 is a wasteful number, since it uses less digits than its factorization.

3984632169024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12549 (or 12539 counting only the distinct ones).

The product of its (nonzero) digits is 13436928, while the sum is 57.

The spelling of 3984632169024 in words is "three trillion, nine hundred eighty-four billion, six hundred thirty-two million, one hundred sixty-nine thousand, twenty-four".