3991339661760 has 448 divisors, whose sum is σ = 15424435699200. Its totient is φ = 963577036800.

The previous prime is 3991339661753. The next prime is 3991339661807. The reversal of 3991339661760 is 671669331993.

3991339661760 is a `hidden beast` number, since 3 + 9 + 9 + 1 + 3 + 3 + 9 + 6 + 617 + 6 + 0 = 666.

It is a Smith number, since the sum of its digits (63) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 22817511 + ... + 22991769.

Almost surely, 2^{3991339661760} is an apocalyptic number.

3991339661760 is a gapful number since it is divisible by the number (30) 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 3991339661760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7712217849600).

3991339661760 is an abundant number, since it is smaller than the sum of its proper divisors (11433096037440).

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

3991339661760 is a wasteful number, since it uses less digits than its factorization.

3991339661760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 174537 (or 174521 counting only the distinct ones).

The product of its (nonzero) digits is 29760696, while the sum is 63.

The spelling of 3991339661760 in words is "three trillion, nine hundred ninety-one billion, three hundred thirty-nine million, six hundred sixty-one thousand, seven hundred sixty".