3791639801664 has 1344 divisors, whose sum is σ = 14096933480448. Its totient is φ = 956222668800.

The previous prime is 3791639801623. The next prime is 3791639801693. The reversal of 3791639801664 is 4661089361973.

3791639801664 is a `hidden beast` number, since 3 + 79 + 16 + 398 + 0 + 166 + 4 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 4905096382 + ... + 4905097154.

It is an arithmetic number, because the mean of its divisors is an integer number (10488789792).

Almost surely, 2^{3791639801664} is an apocalyptic number.

3791639801664 is a gapful number since it is divisible by the number (34) 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 3791639801664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7048466740224).

3791639801664 is an abundant number, since it is smaller than the sum of its proper divisors (10305293678784).

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

3791639801664 is a wasteful number, since it uses less digits than its factorization.

3791639801664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 976 (or 963 counting only the distinct ones).

The product of its (nonzero) digits is 35271936, while the sum is 63.

The spelling of 3791639801664 in words is "three trillion, seven hundred ninety-one billion, six hundred thirty-nine million, eight hundred one thousand, six hundred sixty-four".