3074872320 has 704 divisors, whose sum is σ = 12380256000. Its totient is φ = 718405632.

The previous prime is 3074872319. The next prime is 3074872321. The reversal of 3074872320 is 232784703.

It is an interprime number because it is at equal distance from previous prime (3074872319) and next prime (3074872321).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3074872321) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 52116451 + ... + 52116509.

Almost surely, 2^3074872320 is an apocalyptic number.

3074872320 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 3074872320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6190128000).

3074872320 is an abundant number, since it is smaller than the sum of its proper divisors (9305383680).

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

3074872320 is a wasteful number, since it uses less digits than its factorization.

3074872320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 135 (or 111 counting only the distinct ones).

The product of its (nonzero) digits is 56448, while the sum is 36.

The square root of 3074872320 is about 55451.5312683067. The cubic root of 3074872320 is about 1454.1494018671.

The spelling of 3074872320 in words is "three billion, seventy-four million, eight hundred seventy-two thousand, three hundred twenty".