344276820 has 72 divisors (see below), whose sum is σ = 1059930144. Its totient is φ = 90433728.

The previous prime is 344276813. The next prime is 344276869. The reversal of 344276820 is 28672443.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2214 + ... + 26333.

It is an arithmetic number, because the mean of its divisors is an integer number (14721252).

Almost surely, 2^344276820 is an apocalyptic number.

344276820 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 344276820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (529965072).

344276820 is an abundant number, since it is smaller than the sum of its proper divisors (715653324).

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

344276820 is a wasteful number, since it uses less digits than its factorization.

344276820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28629 (or 28624 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 36.

The square root of 344276820 is about 18554.6980573654. The cubic root of 344276820 is about 700.8675094860.

The spelling of 344276820 in words is "three hundred forty-four million, two hundred seventy-six thousand, eight hundred twenty".