344387054025 has 351 divisors, whose sum is σ = 778946668311. Its totient is φ = 150589121760.

The previous prime is 344387053991. The next prime is 344387054027. The reversal of 344387054025 is 520450783443.

The square root of 344387054025 is 586845.

It is a perfect power (a square), and thus also a powerful number.

344387054025 is a `hidden beast` number, since 3 + 4 + 4 + 3 + 87 + 0 + 540 + 25 = 666.

It can be written as a sum of positive squares in only one way, i.e., 123979339449 + 220407714576 = 352107^2 + 469476^2 .

It is not a de Polignac number, because 344387054025 - 2⁷ = 344387053897 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 (344387054027) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 350 ways as a sum of consecutive naturals, for example, 14973350164 + ... + 14973350186.

Almost surely, 2^344387054025 is an apocalyptic number.

344387054025 is a gapful number since it is divisible by the number (35) formed by its first and last digit.

344387054025 is the 586845-th square number.

344387054025 is the 293423-rd centered octagonal number.

It is an amenable number.

344387054025 is an abundant number, since it is smaller than the sum of its proper divisors (434559614286).

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

344387054025 is an frugal number, since it uses more digits than its factorization.

344387054025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 106 (or 38 counting only the distinct ones).

The product of its (nonzero) digits is 1612800, while the sum is 45.

The spelling of 344387054025 in words is "three hundred forty-four billion, three hundred eighty-seven million, fifty-four thousand, twenty-five".