3839972438016 has 2184 divisors, whose sum is σ = 14971454887536. Its totient is φ = 966981058560.

The previous prime is 3839972438009. The next prime is 3839972438041. The reversal of 3839972438016 is 6108342799383.

3839972438016 is a `hidden beast` number, since 38 + 3 + 99 + 72 + 438 + 0 + 16 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 167 ways as a sum of consecutive naturals, for example, 166955323381 + ... + 166955323403.

Almost surely, 2^{3839972438016} is an apocalyptic number.

3839972438016 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 3839972438016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7485727443768).

3839972438016 is an abundant number, since it is smaller than the sum of its proper divisors (11131482449520).

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

3839972438016 is a wasteful number, since it uses less digits than its factorization.

3839972438016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 129 (or 69 counting only the distinct ones).

The product of its (nonzero) digits is 47029248, while the sum is 63.

The spelling of 3839972438016 in words is "three trillion, eight hundred thirty-nine billion, nine hundred seventy-two million, four hundred thirty-eight thousand, sixteen".