3079482624 has 252 divisors, whose sum is σ = 9550743300. Its totient is φ = 989356032.

The previous prime is 3079482611. The next prime is 3079482641. The reversal of 3079482624 is 4262849703.

It can be written as a sum of positive squares in 2 ways, for example, as 1021953024 + 2057529600 = 31968^2 + 45360^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 3079482624.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 5411812 + ... + 5412380.

It is an arithmetic number, because the mean of its divisors is an integer number (37899775).

Almost surely, 2^3079482624 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 3079482624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4775371650).

3079482624 is an abundant number, since it is smaller than the sum of its proper divisors (6471260676).

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

3079482624 is an frugal number, since it uses more digits than its factorization.

3079482624 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 632 (or 603 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 45.

The square root of 3079482624 is about 55493.0862720754. The cubic root of 3079482624 is about 1454.8757976668.

The spelling of 3079482624 in words is "three billion, seventy-nine million, four hundred eighty-two thousand, six hundred twenty-four".