34648320 has 144 divisors (see below), whose sum is σ = 126564480. Its totient is φ = 7913472.

The previous prime is 34648253. The next prime is 34648331. The reversal of 34648320 is 2384643.

It is a Harshad number since it is a multiple of its sum of digits (30).

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, 26236 + ... + 27524.

It is an arithmetic number, because the mean of its divisors is an integer number (878920).

Almost surely, 2^34648320 is an apocalyptic number.

34648320 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 34648320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63282240).

34648320 is an abundant number, since it is smaller than the sum of its proper divisors (91916160).

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

34648320 is a wasteful number, since it uses less digits than its factorization.

34648320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1320 (or 1306 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 30.

The square root of 34648320 is about 5886.2823581612. The cubic root of 34648320 is about 326.0073517606.

The spelling of 34648320 in words is "thirty-four million, six hundred forty-eight thousand, three hundred twenty".