344791620 has 288 divisors, whose sum is σ = 1204035840. Its totient is φ = 81607680.

The previous prime is 344791619. The next prime is 344791627. The reversal of 344791620 is 26197443.

It is a super-3 number, since 3×344791620³ (a number of 27 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

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

It is not an unprimeable number, because it can be changed into a prime (344791627) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 4856185 + ... + 4856255.

It is an arithmetic number, because the mean of its divisors is an integer number (4180680).

Almost surely, 2^344791620 is an apocalyptic number.

344791620 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 344791620, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (602017920).

344791620 is an abundant number, since it is smaller than the sum of its proper divisors (859244220).

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

344791620 is a wasteful number, since it uses less digits than its factorization.

344791620 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 152 (or 121 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

The square root of 344791620 is about 18568.5653726937. The cubic root of 344791620 is about 701.2166731853.

The spelling of 344791620 in words is "three hundred forty-four million, seven hundred ninety-one thousand, six hundred twenty".