34346016 has 72 divisors (see below), whose sum is σ = 100848384. Its totient is φ = 11076480.

The previous prime is 34346003. The next prime is 34346023. The reversal of 34346016 is 61064343.

It is a tau number, because it is divible by the number of its divisors (72).

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, 7005 + ... + 10851.

It is an arithmetic number, because the mean of its divisors is an integer number (1400672).

Almost surely, 2^34346016 is an apocalyptic number.

34346016 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 34346016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50424192).

34346016 is an abundant number, since it is smaller than the sum of its proper divisors (66502368).

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

34346016 is a wasteful number, since it uses less digits than its factorization.

34346016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3894 (or 3883 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

The square root of 34346016 is about 5860.5474147045. The cubic root of 34346016 is about 325.0564509437.

The spelling of 34346016 in words is "thirty-four million, three hundred forty-six thousand, sixteen".