344004128 has 48 divisors (see below), whose sum is σ = 746355456. Its totient is φ = 155070720.

The previous prime is 344004121. The next prime is 344004131. The reversal of 344004128 is 821400443.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a junction number, because it is equal to n+sod(n) for n = 344004097 and 344004106.

It is not an unprimeable number, because it can be changed into a prime (344004121) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 8273 + ... + 27503.

It is an arithmetic number, because the mean of its divisors is an integer number (15549072).

Almost surely, 2^344004128 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 344004128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (373177728).

344004128 is an abundant number, since it is smaller than the sum of its proper divisors (402351328).

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

344004128 is a wasteful number, since it uses less digits than its factorization.

344004128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19297 (or 19289 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 26.

The square root of 344004128 is about 18547.3482740795. The cubic root of 344004128 is about 700.6824147846.

The spelling of 344004128 in words is "three hundred forty-four million, four thousand, one hundred twenty-eight".