348400564832 has 96 divisors (see below), whose sum is σ = 712333893600. Its totient is φ = 167617331200.

The previous prime is 348400564823. The next prime is 348400564847. The reversal of 348400564832 is 238465004843.

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, 48922232 + ... + 48929352.

It is an arithmetic number, because the mean of its divisors is an integer number (7420144725).

Almost surely, 2^348400564832 is an apocalyptic number.

348400564832 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 348400564832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (356166946800).

348400564832 is an abundant number, since it is smaller than the sum of its proper divisors (363933328768).

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

348400564832 is a wasteful number, since it uses less digits than its factorization.

348400564832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7680 (or 7672 counting only the distinct ones).

The product of its (nonzero) digits is 2211840, while the sum is 47.

The spelling of 348400564832 in words is "three hundred forty-eight billion, four hundred million, five hundred sixty-four thousand, eight hundred thirty-two".