344795640 has 128 divisors (see below), whose sum is σ = 1220382720. Its totient is φ = 76262400.

The previous prime is 344795639. The next prime is 344795653. The reversal of 344795640 is 46597443.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 344795592 and 344795601.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 19420 + ... + 32660.

It is an arithmetic number, because the mean of its divisors is an integer number (9534240).

Almost surely, 2^344795640 is an apocalyptic number.

344795640 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 344795640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (610191360).

344795640 is an abundant number, since it is smaller than the sum of its proper divisors (875587080).

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

344795640 is a wasteful number, since it uses less digits than its factorization.

344795640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13293 (or 13289 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 42.

The square root of 344795640 is about 18568.6736198362. The cubic root of 344795640 is about 701.2193983869.

The spelling of 344795640 in words is "three hundred forty-four million, seven hundred ninety-five thousand, six hundred forty".