344135400 has 96 divisors (see below), whose sum is σ = 1219237440. Its totient is φ = 78658560.

The previous prime is 344135387. The next prime is 344135401. The reversal of 344135400 is 4531443.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (344135401) 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, 36769 + ... + 45168.

It is an arithmetic number, because the mean of its divisors is an integer number (12700390).

Almost surely, 2^344135400 is an apocalyptic number.

344135400 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

344135400 is an abundant number, since it is smaller than the sum of its proper divisors (875102040).

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

344135400 is a wasteful number, since it uses less digits than its factorization.

344135400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 81963 (or 81954 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 24.

The square root of 344135400 is about 18550.8867712571. The cubic root of 344135400 is about 700.7715302700.

Adding to 344135400 its reverse (4531443), we get a palindrome (348666843).

The spelling of 344135400 in words is "three hundred forty-four million, one hundred thirty-five thousand, four hundred".