3152248320 has 160 divisors (see below), whose sum is σ = 10852867872. Its totient is φ = 775913472.

The previous prime is 3152248303. The next prime is 3152248373. The reversal of 3152248320 is 238422513.

It is a tau number, because it is divible by the number of its divisors (160).

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 (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 84054 + ... + 115626.

Almost surely, 2^3152248320 is an apocalyptic number.

3152248320 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 3152248320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5426433936).

3152248320 is an abundant number, since it is smaller than the sum of its proper divisors (7700619552).

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

3152248320 is a wasteful number, since it uses less digits than its factorization.

3152248320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31612 (or 31596 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 30.

The square root of 3152248320 is about 56144.8868553495. The cubic root of 3152248320 is about 1466.2458884754.

The spelling of 3152248320 in words is "three billion, one hundred fifty-two million, two hundred forty-eight thousand, three hundred twenty".