344351640 has 64 divisors (see below), whose sum is σ = 1036488960. Its totient is φ = 91521920.

The previous prime is 344351629. The next prime is 344351641. The reversal of 344351640 is 46153443.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 344351598 and 344351607.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (344351641) 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, 32707 + ... + 41933.

It is an arithmetic number, because the mean of its divisors is an integer number (16195140).

Almost surely, 2^344351640 is an apocalyptic number.

344351640 is a gapful number since it is divisible by the number (30) 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 344351640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (518244480).

344351640 is an abundant number, since it is smaller than the sum of its proper divisors (692137320).

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

344351640 is a wasteful number, since it uses less digits than its factorization.

344351640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9552 (or 9548 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 30.

The square root of 344351640 is about 18556.7141487926. The cubic root of 344351640 is about 700.9182778462.

The spelling of 344351640 in words is "three hundred forty-four million, three hundred fifty-one thousand, six hundred forty".