3979913280 has 672 divisors, whose sum is σ = 15942015360. Its totient is φ = 836075520.

The previous prime is 3979913239. The next prime is 3979913291. The reversal of 3979913280 is 823199793.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (672).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 54519324 + ... + 54519396.

Almost surely, 2^3979913280 is an apocalyptic number.

3979913280 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 3979913280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7971007680).

3979913280 is an abundant number, since it is smaller than the sum of its proper divisors (11962102080).

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

3979913280 is a wasteful number, since it uses less digits than its factorization.

3979913280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 187 (or 170 counting only the distinct ones).

The product of its (nonzero) digits is 734832, while the sum is 51.

The square root of 3979913280 is about 63086.5538764006. The cubic root of 3979913280 is about 1584.7394517108.

The spelling of 3979913280 in words is "three billion, nine hundred seventy-nine million, nine hundred thirteen thousand, two hundred eighty".