3182872320 has 324 divisors, whose sum is σ = 11465552280. Its totient is φ = 846526464.

The previous prime is 3182872313. The next prime is 3182872321. The reversal of 3182872320 is 232782813.

It is a happy number.

3182872320 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (324).

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 (3182872321) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 8397891 + ... + 8398269.

Almost surely, 2^3182872320 is an apocalyptic number.

3182872320 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 3182872320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5732776140).

3182872320 is an abundant number, since it is smaller than the sum of its proper divisors (8282679960).

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

3182872320 is an frugal number, since it uses more digits than its factorization.

3182872320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 424 (or 389 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The square root of 3182872320 is about 56416.9506442878. The cubic root of 3182872320 is about 1470.9787733960.

The spelling of 3182872320 in words is "three billion, one hundred eighty-two million, eight hundred seventy-two thousand, three hundred twenty".