34414320 has 80 divisors (see below), whose sum is σ = 112314240. Its totient is φ = 8692992.

The previous prime is 34414313. The next prime is 34414343. The reversal of 34414320 is 2341443.

It is a tau number, because it is divible by the number of its divisors (80).

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, 787 + ... + 8333.

It is an arithmetic number, because the mean of its divisors is an integer number (1403928).

Almost surely, 2^34414320 is an apocalyptic number.

34414320 is a gapful number since it is divisible by the number (30) 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 34414320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56157120).

34414320 is an abundant number, since it is smaller than the sum of its proper divisors (77899920).

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

34414320 is a wasteful number, since it uses less digits than its factorization.

34414320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7582 (or 7576 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 21.

The square root of 34414320 is about 5866.3719622949. The cubic root of 34414320 is about 325.2717884267.

Adding to 34414320 its reverse (2341443), we get a palindrome (36755763).

The spelling of 34414320 in words is "thirty-four million, four hundred fourteen thousand, three hundred twenty".