344974896 has 240 divisors, whose sum is σ = 1181769600. Its totient is φ = 96018048.

The previous prime is 344974891. The next prime is 344974921. The reversal of 344974896 is 698479443.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (344974891) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 910035 + ... + 910413.

It is an arithmetic number, because the mean of its divisors is an integer number (4924040).

Almost surely, 2^344974896 is an apocalyptic number.

344974896 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 344974896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (590884800).

344974896 is an abundant number, since it is smaller than the sum of its proper divisors (836794704).

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

344974896 is a wasteful number, since it uses less digits than its factorization.

344974896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 453 (or 434 counting only the distinct ones).

The product of its digits is 5225472, while the sum is 54.

The square root of 344974896 is about 18573.4998317495. The cubic root of 344974896 is about 701.3408964504.

It can be divided in two parts, 34497 and 4896, that added together give a palindrome (39393).

The spelling of 344974896 in words is "three hundred forty-four million, nine hundred seventy-four thousand, eight hundred ninety-six".