34138320 has 80 divisors (see below), whose sum is σ = 106933632. Its totient is φ = 9008640.

The previous prime is 34138319. The next prime is 34138331. The reversal of 34138320 is 2383143.

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

It is a Harshad number since it is a multiple of its sum of digits (24).

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, 24030 + ... + 25410.

Almost surely, 2^34138320 is an apocalyptic number.

34138320 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 34138320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53466816).

34138320 is an abundant number, since it is smaller than the sum of its proper divisors (72795312).

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

34138320 is a wasteful number, since it uses less digits than its factorization.

34138320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1500 (or 1494 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

The square root of 34138320 is about 5842.8006982953. The cubic root of 34138320 is about 324.3999024916.

The spelling of 34138320 in words is "thirty-four million, one hundred thirty-eight thousand, three hundred twenty".