344377101040 has 160 divisors (see below), whose sum is σ = 924531433344. Its totient is φ = 116855930880.

The previous prime is 344377100941. The next prime is 344377101041. The reversal of 344377101040 is 40101773443.

It is a junction number, because it is equal to n+sod(n) for n = 344377100987 and 344377101005.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (344377101041) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 22587820 + ... + 22603060.

Almost surely, 2^344377101040 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 344377101040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (462265716672).

344377101040 is an abundant number, since it is smaller than the sum of its proper divisors (580154332304).

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

344377101040 is a wasteful number, since it uses less digits than its factorization.

344377101040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15675 (or 15669 counting only the distinct ones).

The product of its (nonzero) digits is 28224, while the sum is 34.

Adding to 344377101040 its reverse (40101773443), we get a palindrome (384478874483).

The spelling of 344377101040 in words is "three hundred forty-four billion, three hundred seventy-seven million, one hundred one thousand, forty".