3934517412672 has 2016 divisors, whose sum is σ = 15749654860800. Its totient is φ = 957556131840.

The previous prime is 3934517412659. The next prime is 3934517412719. The reversal of 3934517412672 is 2762147154393.

3934517412672 is a `hidden beast` number, since 3 + 9 + 34 + 517 + 4 + 1 + 26 + 72 = 666.

It is a tau number, because it is divible by the number of its divisors (2016).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 13902888243 + ... + 13902888525.

It is an arithmetic number, because the mean of its divisors is an integer number (7812328800).

Almost surely, 2^{3934517412672} is an apocalyptic number.

3934517412672 is a gapful number since it is divisible by the number (32) 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 3934517412672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7874827430400).

3934517412672 is an abundant number, since it is smaller than the sum of its proper divisors (11815137448128).

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

3934517412672 is a wasteful number, since it uses less digits than its factorization.

3934517412672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 422 (or 388 counting only the distinct ones).

The product of its digits is 7620480, while the sum is 54.

The spelling of 3934517412672 in words is "three trillion, nine hundred thirty-four billion, five hundred seventeen million, four hundred twelve thousand, six hundred seventy-two".