34478400225 has 48 divisors (see below), whose sum is σ = 57711306240. Its totient is φ = 18161203200.

The previous prime is 34478400211. The next prime is 34478400233. The reversal of 34478400225 is 52200487443.

It is a happy number.

It is not a de Polignac number, because 34478400225 - 2¹⁷ = 34478269153 is a prime.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 3698320 + ... + 3707630.

It is an arithmetic number, because the mean of its divisors is an integer number (1202318880).

Almost surely, 2^34478400225 is an apocalyptic number.

It is an amenable number.

34478400225 is a deficient number, since it is larger than the sum of its proper divisors (23232906015).

34478400225 is a wasteful number, since it uses less digits than its factorization.

34478400225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9930 (or 9925 counting only the distinct ones).

The product of its (nonzero) digits is 215040, while the sum is 39.

Adding to 34478400225 its reverse (52200487443), we get a palindrome (86678887668).

The spelling of 34478400225 in words is "thirty-four billion, four hundred seventy-eight million, four hundred thousand, two hundred twenty-five".