3979329306624 has 1536 divisors, whose sum is σ = 14656352256000. Its totient is φ = 1076865269760.

The previous prime is 3979329306613. The next prime is 3979329306691. The reversal of 3979329306624 is 4266039239793.

It is a tau number, because it is divible by the number of its divisors (1536).

It is a super-2 number, since 2×3979329306624² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

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, 84666580969 + ... + 84666581015.

It is an arithmetic number, because the mean of its divisors is an integer number (9541896000).

Almost surely, 2^{3979329306624} 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 3979329306624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7328176128000).

3979329306624 is an abundant number, since it is smaller than the sum of its proper divisors (10677022949376).

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

3979329306624 is an frugal number, since it uses more digits than its factorization.

3979329306624 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 144 (or 90 counting only the distinct ones).

The product of its (nonzero) digits is 79361856, while the sum is 63.

The spelling of 3979329306624 in words is "three trillion, nine hundred seventy-nine billion, three hundred twenty-nine million, three hundred six thousand, six hundred twenty-four".