3944929613184 has 768 divisors, whose sum is σ = 13759310073600. Its totient is φ = 1109309644800.

The previous prime is 3944929613143. The next prime is 3944929613243. The reversal of 3944929613184 is 4813169294493.

3944929613184 is a `hidden beast` number, since 3 + 9 + 4 + 4 + 9 + 2 + 9 + 613 + 1 + 8 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 6563942484 + ... + 6563943084.

It is an arithmetic number, because the mean of its divisors is an integer number (17915768325).

Almost surely, 2^{3944929613184} 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 3944929613184, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6879655036800).

3944929613184 is an abundant number, since it is smaller than the sum of its proper divisors (9814380460416).

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

3944929613184 is a wasteful number, since it uses less digits than its factorization.

3944929613184 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1188 (or 1163 counting only the distinct ones).

The product of its digits is 40310784, while the sum is 63.

The spelling of 3944929613184 in words is "three trillion, nine hundred forty-four billion, nine hundred twenty-nine million, six hundred thirteen thousand, one hundred eighty-four".