3979272960 has 576 divisors, whose sum is σ = 16132556160. Its totient is φ = 920125440.

The previous prime is 3979272893. The next prime is 3979272971. The reversal of 3979272960 is 692729793.

It is a tau number, because it is divible by the number of its divisors (576).

It is a super-2 number, since 2×3979272960² = 31669226580374323200, which contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 3979272897 and 3979272906.

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, 7637500 + ... + 7638020.

It is an arithmetic number, because the mean of its divisors is an integer number (28007910).

Almost surely, 2^3979272960 is an apocalyptic number.

3979272960 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 3979272960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8066278080).

3979272960 is an abundant number, since it is smaller than the sum of its proper divisors (12153283200).

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

3979272960 is a wasteful number, since it uses less digits than its factorization.

3979272960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 581 (or 561 counting only the distinct ones).

The product of its (nonzero) digits is 2571912, while the sum is 54.

The square root of 3979272960 is about 63081.4787398013. The cubic root of 3979272960 is about 1584.6544586704.

The spelling of 3979272960 in words is "three billion, nine hundred seventy-nine million, two hundred seventy-two thousand, nine hundred sixty".