3739973179968 has 672 divisors, whose sum is σ = 11744182719360. Its totient is φ = 1166325350400.

The previous prime is 3739973179889. The next prime is 3739973179979. The reversal of 3739973179968 is 8699713799373.

3739973179968 is a `hidden beast` number, since 3 + 7 + 399 + 73 + 1 + 79 + 96 + 8 = 666.

3739973179968 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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, 11097843096 + ... + 11097843432.

It is an arithmetic number, because the mean of its divisors is an integer number (17476462380).

Almost surely, 2^{3739973179968} 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 3739973179968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5872091359680).

3739973179968 is an abundant number, since it is smaller than the sum of its proper divisors (8004209539392).

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

3739973179968 is a wasteful number, since it uses less digits than its factorization.

3739973179968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 624 (or 577 counting only the distinct ones).

The product of its digits is 2916548208, while the sum is 81.

The spelling of 3739973179968 in words is "three trillion, seven hundred thirty-nine billion, nine hundred seventy-three million, one hundred seventy-nine thousand, nine hundred sixty-eight".