3020872320 has 320 divisors, whose sum is σ = 11359576800. Its totient is φ = 762918912.

The previous prime is 3020872259. The next prime is 3020872397. The reversal of 3020872320 is 232780203.

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

It is a Harshad number since it is a multiple of its sum of digits (27).

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 39 ways as a sum of consecutive naturals, for example, 983427 + ... + 986493.

Almost surely, 2^3020872320 is an apocalyptic number.

3020872320 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 3020872320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5679788400).

3020872320 is an abundant number, since it is smaller than the sum of its proper divisors (8338704480).

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

3020872320 is a wasteful number, since it uses less digits than its factorization.

3020872320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3117 (or 3096 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 27.

The square root of 3020872320 is about 54962.4628269149. The cubic root of 3020872320 is about 1445.5866313808.

The spelling of 3020872320 in words is "three billion, twenty million, eight hundred seventy-two thousand, three hundred twenty".