34214516 has 48 divisors (see below), whose sum is σ = 73100160. Its totient is φ = 13685760.

The previous prime is 34214507. The next prime is 34214527. The reversal of 34214516 is 61541243.

It is a super-2 number, since 2×34214516² = 2341266210228512, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 38396 + ... + 39276.

It is an arithmetic number, because the mean of its divisors is an integer number (1522920).

Almost surely, 2^34214516 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34214516, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36550080).

34214516 is an abundant number, since it is smaller than the sum of its proper divisors (38885644).

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

34214516 is a wasteful number, since it uses less digits than its factorization.

34214516 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 984 (or 982 counting only the distinct ones).

The product of its digits is 2880, while the sum is 26.

The square root of 34214516 is about 5849.3175670329. The cubic root of 34214516 is about 324.6410743647.

Adding to 34214516 its reverse (61541243), we get a palindrome (95755759).

The spelling of 34214516 in words is "thirty-four million, two hundred fourteen thousand, five hundred sixteen".