344856420 has 96 divisors (see below), whose sum is σ = 1083680640. Its totient is φ = 91036800.

The previous prime is 344856419. The next prime is 344856427. The reversal of 344856420 is 24658443.

344856420 is a `hidden beast` number, since 3 + 4 + 4 + 8 + 5 + 642 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (344856427) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 51379 + ... + 57701.

It is an arithmetic number, because the mean of its divisors is an integer number (11288340).

Almost surely, 2^344856420 is an apocalyptic number.

344856420 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 344856420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (541840320).

344856420 is an abundant number, since it is smaller than the sum of its proper divisors (738824220).

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

344856420 is a wasteful number, since it uses less digits than its factorization.

344856420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6442 (or 6434 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 36.

The square root of 344856420 is about 18570.3101751155. The cubic root of 344856420 is about 701.2605992278.

The spelling of 344856420 in words is "three hundred forty-four million, eight hundred fifty-six thousand, four hundred twenty".