34189416 has 48 divisors (see below), whose sum is σ = 93350400. Its totient is φ = 11303712.

The previous prime is 34189403. The next prime is 34189423. The reversal of 34189416 is 61498143.

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 an alternating number because its digits alternate between odd and even.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 7275 + ... + 11013.

It is an arithmetic number, because the mean of its divisors is an integer number (1944800).

Almost surely, 2^34189416 is an apocalyptic number.

34189416 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34189416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46675200).

34189416 is an abundant number, since it is smaller than the sum of its proper divisors (59160984).

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

34189416 is a wasteful number, since it uses less digits than its factorization.

34189416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3878 (or 3871 counting only the distinct ones).

The product of its digits is 20736, while the sum is 36.

The square root of 34189416 is about 5847.1716239563. The cubic root of 34189416 is about 324.5616686492.

The spelling of 34189416 in words is "thirty-four million, one hundred eighty-nine thousand, four hundred sixteen".