3000232320 has 256 divisors, whose sum is σ = 9921009600. Its totient is φ = 770605056.

The previous prime is 3000232271. The next prime is 3000232331. The reversal of 3000232320 is 232320003.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 3000232320.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 11153146 + ... + 11153414.

Almost surely, 2^3000232320 is an apocalyptic number.

3000232320 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 3000232320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4960504800).

3000232320 is an abundant number, since it is smaller than the sum of its proper divisors (6920777280).

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

3000232320 is a wasteful number, since it uses less digits than its factorization.

3000232320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 485 (or 473 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 15.

The square root of 3000232320 is about 54774.3764912025. The cubic root of 3000232320 is about 1442.2867986153.

Adding to 3000232320 its reverse (232320003), we get a palindrome (3232552323).

It can be divided in two parts, 3000 and 232320, that multiplied together give a square (696960000 = 26400²).

The spelling of 3000232320 in words is "three billion, two hundred thirty-two thousand, three hundred twenty".