3080579040 has 840 divisors, whose sum is σ = 13886932248. Its totient is φ = 640120320.

The previous prime is 3080579017. The next prime is 3080579053. The reversal of 3080579040 is 409750803.

3080579040 is a `hidden beast` number, since 3 + 0 + 80 + 579 + 0 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (840).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 3080578986 and 3080579004.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 139 ways as a sum of consecutive naturals, for example, 280052635 + ... + 280052645.

Almost surely, 2^3080579040 is an apocalyptic number.

3080579040 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 3080579040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6943466124).

3080579040 is an abundant number, since it is smaller than the sum of its proper divisors (10806353208).

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

3080579040 is an frugal number, since it uses more digits than its factorization.

3080579040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 72 (or 28 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The square root of 3080579040 is about 55502.9642451644. The cubic root of 3080579040 is about 1455.0484413673.

The spelling of 3080579040 in words is "three billion, eighty million, five hundred seventy-nine thousand, forty".