34384416 has 48 divisors (see below), whose sum is σ = 98467488. Its totient is φ = 10419200.

The previous prime is 34384411. The next prime is 34384417. The reversal of 34384416 is 61448343.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-2 number, since 2×34384416² = 2364576127322112, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (33).

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 (34384411) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 15225 + ... + 17336.

It is an arithmetic number, because the mean of its divisors is an integer number (2051406).

Almost surely, 2^34384416 is an apocalyptic number.

It is an amenable number.

34384416 is an abundant number, since it is smaller than the sum of its proper divisors (64083072).

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

34384416 is a wasteful number, since it uses less digits than its factorization.

34384416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32585 (or 32577 counting only the distinct ones).

The product of its digits is 27648, while the sum is 33.

The square root of 34384416 is about 5863.8226439755. The cubic root of 34384416 is about 325.1775471700.

The spelling of 34384416 in words is "thirty-four million, three hundred eighty-four thousand, four hundred sixteen".