34400889 has 16 divisors (see below), whose sum is σ = 51802240. Its totient is φ = 22556880.

The previous prime is 34400881. The next prime is 34400897. The reversal of 34400889 is 98800443.

34400889 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (34400881) and next prime (34400897).

It is not a de Polignac number, because 34400889 - 2³ = 34400881 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (34400881) 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 15 ways as a sum of consecutive naturals, for example, 8797 + ... + 12090.

It is an arithmetic number, because the mean of its divisors is an integer number (3237640).

Almost surely, 2^34400889 is an apocalyptic number.

It is an amenable number.

34400889 is a deficient number, since it is larger than the sum of its proper divisors (17401351).

34400889 is a wasteful number, since it uses less digits than its factorization.

34400889 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20957 (or 20951 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 34400889 is about 5865.2271055774. The cubic root of 34400889 is about 325.2294679251.

The spelling of 34400889 in words is "thirty-four million, four hundred thousand, eight hundred eighty-nine".