344125412032 has 56 divisors (see below), whose sum is σ = 723651716016. Its totient is φ = 161805017088.

The previous prime is 344125412023. The next prime is 344125412047. The reversal of 344125412032 is 230214521443.

It is a junction number, because it is equal to n+sod(n) for n = 344125411985 and 344125412003.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1165423 + ... + 1430545.

Almost surely, 2^344125412032 is an apocalyptic number.

344125412032 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 344125412032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (361825858008).

344125412032 is an abundant number, since it is smaller than the sum of its proper divisors (379526303984).

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

344125412032 is a wasteful number, since it uses less digits than its factorization.

344125412032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 266345 (or 266335 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 31.

Adding to 344125412032 its reverse (230214521443), we get a palindrome (574339933475).

The spelling of 344125412032 in words is "three hundred forty-four billion, one hundred twenty-five million, four hundred twelve thousand, thirty-two".