3132343872 has 448 divisors, whose sum is σ = 11197132800. Its totient is φ = 849885696.

The previous prime is 3132343847. The next prime is 3132343897. The reversal of 3132343872 is 2783432313.

It is an interprime number because it is at equal distance from previous prime (3132343847) and next prime (3132343897).

It is a tau number, because it is divible by the number of its divisors (448).

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

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 22534779 + ... + 22534917.

It is an arithmetic number, because the mean of its divisors is an integer number (24993600).

Almost surely, 2^3132343872 is an apocalyptic number.

3132343872 is a gapful number since it is divisible by the number (32) 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 3132343872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5598566400).

3132343872 is an abundant number, since it is smaller than the sum of its proper divisors (8064788928).

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

3132343872 is an equidigital number, since it uses as much as digits as its factorization.

3132343872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 202 (or 174 counting only the distinct ones).

The product of its digits is 72576, while the sum is 36.

The square root of 3132343872 is about 55967.3464798895. The cubic root of 3132343872 is about 1463.1532324476.

The spelling of 3132343872 in words is "three billion, one hundred thirty-two million, three hundred forty-three thousand, eight hundred seventy-two".