344172816 has 120 divisors (see below), whose sum is σ = 1065548120. Its totient is φ = 103016448.

The previous prime is 344172811. The next prime is 344172827. The reversal of 344172816 is 618271443.

It can be written as a sum of positive squares in 4 ways, for example, as 23619600 + 320553216 = 4860^2 + 17904^2 .

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 (344172811) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 66780 + ... + 71748.

Almost surely, 2^344172816 is an apocalyptic number.

344172816 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 344172816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (532774060).

344172816 is an abundant number, since it is smaller than the sum of its proper divisors (721375304).

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

344172816 is a wasteful number, since it uses less digits than its factorization.

344172816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5033 (or 5024 counting only the distinct ones).

The product of its digits is 32256, while the sum is 36.

The square root of 344172816 is about 18551.8952131581. The cubic root of 344172816 is about 700.7969263955.

The spelling of 344172816 in words is "three hundred forty-four million, one hundred seventy-two thousand, eight hundred sixteen".