344478624 has 144 divisors (see below), whose sum is σ = 1068566688. Its totient is φ = 96864768.

The previous prime is 344478611. The next prime is 344478671. The reversal of 344478624 is 426874443.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (42).

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

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, 314622 + ... + 315714.

It is an arithmetic number, because the mean of its divisors is an integer number (7420602).

Almost surely, 2^344478624 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 344478624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (534283344).

344478624 is an abundant number, since it is smaller than the sum of its proper divisors (724088064).

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

344478624 is a wasteful number, since it uses less digits than its factorization.

344478624 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1187 (or 1172 counting only the distinct ones).

The product of its digits is 516096, while the sum is 42.

The square root of 344478624 is about 18560.1353443341. The cubic root of 344478624 is about 701.0044247358.

It can be divided in two parts, 34447 and 8624, that added together give a triangular number (43071 = T₂₉₃).

The spelling of 344478624 in words is "three hundred forty-four million, four hundred seventy-eight thousand, six hundred twenty-four".