3080824320 has 320 divisors, whose sum is σ = 11921665536. Its totient is φ = 662568960.

The previous prime is 3080824319. The next prime is 3080824363. The reversal of 3080824320 is 234280803.

It is a tau number, because it is divible by the number of its divisors (320).

It is a super-3 number, since 3×3080824320³ (a number of 29 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

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 31 ways as a sum of consecutive naturals, for example, 912235 + ... + 915605.

Almost surely, 2^3080824320 is an apocalyptic number.

3080824320 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 3080824320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5960832768).

3080824320 is an abundant number, since it is smaller than the sum of its proper divisors (8840841216).

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

3080824320 is a wasteful number, since it uses less digits than its factorization.

3080824320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3421 (or 3405 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 30.

The square root of 3080824320 is about 55505.1738128978. The cubic root of 3080824320 is about 1455.0870580046.

The spelling of 3080824320 in words is "three billion, eighty million, eight hundred twenty-four thousand, three hundred twenty".