34209945 has 80 divisors (see below), whose sum is σ = 76526208. Its totient is φ = 14204160.

The previous prime is 34209919. The next prime is 34209971. The reversal of 34209945 is 54990243.

It is an interprime number because it is at equal distance from previous prime (34209919) and next prime (34209971).

It is not a de Polignac number, because 34209945 - 2⁷ = 34209817 is a prime.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 30637 + ... + 31733.

Almost surely, 2^34209945 is an apocalyptic number.

34209945 is a gapful number since it is divisible by the number (35) formed by its first and last digit.

It is an amenable number.

34209945 is an abundant number, since it is smaller than the sum of its proper divisors (42316263).

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

34209945 is a wasteful number, since it uses less digits than its factorization.

34209945 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1132 (or 1123 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 36.

The square root of 34209945 is about 5848.9268246406. The cubic root of 34209945 is about 324.6266165593.

The spelling of 34209945 in words is "thirty-four million, two hundred nine thousand, nine hundred forty-five".