3979440576 has 140 divisors (see below), whose sum is σ = 12115711608. Its totient is φ = 1290567168.

The previous prime is 3979440571. The next prime is 3979440599. The reversal of 3979440576 is 6750449793.

It is a happy number.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3979440571) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 181435 + ... + 202181.

Almost surely, 2^3979440576 is an apocalyptic number.

3979440576 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 3979440576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6057855804).

3979440576 is an abundant number, since it is smaller than the sum of its proper divisors (8136271032).

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

3979440576 is a wasteful number, since it uses less digits than its factorization.

3979440576 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20808 (or 20789 counting only the distinct ones).

The product of its (nonzero) digits is 5715360, while the sum is 54.

The square root of 3979440576 is about 63082.8072932713. The cubic root of 3979440576 is about 1584.6767081044.

The spelling of 3979440576 in words is "three billion, nine hundred seventy-nine million, four hundred forty thousand, five hundred seventy-six".