34348320 has 96 divisors (see below), whose sum is σ = 120234240. Its totient is φ = 9158400.

The previous prime is 34348319. The next prime is 34348343. The reversal of 34348320 is 2384343.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (27).

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, 345 + ... + 8295.

It is an arithmetic number, because the mean of its divisors is an integer number (1252440).

Almost surely, 2^34348320 is an apocalyptic number.

34348320 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 34348320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60117120).

34348320 is an abundant number, since it is smaller than the sum of its proper divisors (85885920).

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

34348320 is a wasteful number, since it uses less digits than its factorization.

34348320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7975 (or 7961 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

The square root of 34348320 is about 5860.7439800762. The cubic root of 34348320 is about 325.0637192619.

The spelling of 34348320 in words is "thirty-four million, three hundred forty-eight thousand, three hundred twenty".