3979241017920 has 1568 divisors, whose sum is σ = 17126390131200. Its totient is φ = 860560588800.

The previous prime is 3979241017919. The next prime is 3979241017931. The reversal of 3979241017920 is 297101429793.

It is a happy number.

3979241017920 is a `hidden beast` number, since 39 + 7 + 9 + 2 + 410 + 179 + 20 = 666.

It is a super-2 number, since 2×3979241017920² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 223 ways as a sum of consecutive naturals, for example, 3793365556 + ... + 3793366604.

Almost surely, 2^{3979241017920} is an apocalyptic number.

3979241017920 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 3979241017920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8563195065600).

3979241017920 is an abundant number, since it is smaller than the sum of its proper divisors (13147149113280).

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

3979241017920 is a wasteful number, since it uses less digits than its factorization.

3979241017920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1215 (or 1190 counting only the distinct ones).

The product of its (nonzero) digits is 1714608, while the sum is 54.

The spelling of 3979241017920 in words is "three trillion, nine hundred seventy-nine billion, two hundred forty-one million, seventeen thousand, nine hundred twenty".