344082816 has 320 divisors, whose sum is σ = 1279618560. Its totient is φ = 89164800.

The previous prime is 344082797. The next prime is 344082821. The reversal of 344082816 is 618280443.

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 39 ways as a sum of consecutive naturals, for example, 798121 + ... + 798551.

It is an arithmetic number, because the mean of its divisors is an integer number (3998808).

Almost surely, 2^344082816 is an apocalyptic number.

344082816 is a gapful number since it is divisible by the number (36) 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 344082816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (639809280).

344082816 is an abundant number, since it is smaller than the sum of its proper divisors (935535744).

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

344082816 is a wasteful number, since it uses less digits than its factorization.

344082816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 475 (or 454 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The square root of 344082816 is about 18549.4694263744. The cubic root of 344082816 is about 700.7358357467.

The spelling of 344082816 in words is "three hundred forty-four million, eighty-two thousand, eight hundred sixteen".