34378722225 has 81 divisors (see below), whose sum is σ = 63154243243. Its totient is φ = 17876972640.

The previous prime is 34378722223. The next prime is 34378722229. The reversal of 34378722225 is 52222787343.

The square root of 34378722225 is 185415.

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

34378722225 is a `hidden beast` number, since 34 + 378 + 7 + 22 + 225 = 666.

It can be written as a sum of positive squares in only one way, i.e., 12376340001 + 22002382224 = 111249^2 + 148332^2 .

It is not a de Polignac number, because 34378722225 - 2¹ = 34378722223 is a prime.

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

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (34378722223) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 130717444 + ... + 130717706.

Almost surely, 2^34378722225 is an apocalyptic number.

34378722225 is the 185415-th square number.

34378722225 is the 92708-th centered octagonal number.

It is an amenable number.

34378722225 is a deficient number, since it is larger than the sum of its proper divisors (28775521018).

34378722225 is an equidigital number, since it uses as much as digits as its factorization.

34378722225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 636 (or 318 counting only the distinct ones).

The product of its digits is 1128960, while the sum is 45.

The spelling of 34378722225 in words is "thirty-four billion, three hundred seventy-eight million, seven hundred twenty-two thousand, two hundred twenty-five".