3929464916496 has 640 divisors, whose sum is σ = 14163636326400. Its totient is φ = 1017016197120.

The previous prime is 3929464916477. The next prime is 3929464916609. The reversal of 3929464916496 is 6946194649293.

3929464916496 is a `hidden beast` number, since 3 + 9 + 2 + 9 + 46 + 4 + 91 + 6 + 496 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

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

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 493461411 + ... + 493469373.

It is an arithmetic number, because the mean of its divisors is an integer number (22130681760).

Almost surely, 2^{3929464916496} is an apocalyptic number.

3929464916496 is a gapful number since it is divisible by the number (36) 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 3929464916496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7081818163200).

3929464916496 is an abundant number, since it is smaller than the sum of its proper divisors (10234171409904).

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

3929464916496 is a wasteful number, since it uses less digits than its factorization.

3929464916496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8364 (or 8352 counting only the distinct ones).

The product of its digits is 544195584, while the sum is 72.

The spelling of 3929464916496 in words is "three trillion, nine hundred twenty-nine billion, four hundred sixty-four million, nine hundred sixteen thousand, four hundred ninety-six".