34399116 has 36 divisors (see below), whose sum is σ = 87806992. Its totient is φ = 11353824.

The previous prime is 34399111. The next prime is 34399129. The reversal of 34399116 is 61199343.

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-3 number, since 3×34399116³ (a number of 24 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (34399111) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 931 + ... + 8346.

Almost surely, 2^34399116 is an apocalyptic number.

34399116 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

34399116 is an abundant number, since it is smaller than the sum of its proper divisors (53407876).

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

34399116 is a wasteful number, since it uses less digits than its factorization.

34399116 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9390 (or 9385 counting only the distinct ones).

The product of its digits is 17496, while the sum is 36.

The square root of 34399116 is about 5865.0759585874. The cubic root of 34399116 is about 325.2238804556.

The spelling of 34399116 in words is "thirty-four million, three hundred ninety-nine thousand, one hundred sixteen".