344132252072 has 64 divisors (see below), whose sum is σ = 745218781440. Its totient is φ = 145927526400.

The previous prime is 344132252063. The next prime is 344132252077. The reversal of 344132252072 is 270252231443.

It is a super-2 number, since 2×344132252072² (a number of 24 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (344132252077) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 36177797 + ... + 36187307.

It is an arithmetic number, because the mean of its divisors is an integer number (11644043460).

Almost surely, 2^344132252072 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 344132252072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (372609390720).

344132252072 is an abundant number, since it is smaller than the sum of its proper divisors (401086529368).

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

344132252072 is a wasteful number, since it uses less digits than its factorization.

344132252072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16282 (or 16278 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 35.

The spelling of 344132252072 in words is "three hundred forty-four billion, one hundred thirty-two million, two hundred fifty-two thousand, seventy-two".