344550400 has 132 divisors (see below), whose sum is σ = 876721912. Its totient is φ = 134184960.

The previous prime is 344550343. The next prime is 344550413. The reversal of 344550400 is 4055443.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1100644 + ... + 1100956.

Almost surely, 2^344550400 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 344550400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (438360956).

344550400 is an abundant number, since it is smaller than the sum of its proper divisors (532171512).

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

344550400 is a wasteful number, since it uses less digits than its factorization.

344550400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 386 (or 363 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 25.

The square root of 344550400 is about 18562.0688502117. The cubic root of 344550400 is about 701.0531087430.

It can be divided in two parts, 344 and 550400, that multiplied together give a square (189337600 = 13760²).

The spelling of 344550400 in words is "three hundred forty-four million, five hundred fifty thousand, four hundred".