344834253225 has 72 divisors (see below), whose sum is σ = 770040303552. Its totient is φ = 143307734400.

The previous prime is 344834253223. The next prime is 344834253319. The reversal of 344834253225 is 522352438443.

344834253225 is a `hidden beast` number, since 34 + 4 + 8 + 342 + 53 + 225 = 666.

It is not a de Polignac number, because 344834253225 - 2¹ = 344834253223 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (344834253223) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 9934602 + ... + 9969251.

It is an arithmetic number, because the mean of its divisors is an integer number (10695004216).

Almost surely, 2^344834253225 is an apocalyptic number.

344834253225 is a gapful number since it is divisible by the number (35) formed by its first and last digit.

It is an amenable number.

344834253225 is an abundant number, since it is smaller than the sum of its proper divisors (425206050327).

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

344834253225 is a wasteful number, since it uses less digits than its factorization.

344834253225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19903887 (or 19903879 counting only the distinct ones).

The product of its digits is 2764800, while the sum is 45.

The spelling of 344834253225 in words is "three hundred forty-four billion, eight hundred thirty-four million, two hundred fifty-three thousand, two hundred twenty-five".