34732320 has 96 divisors (see below), whose sum is σ = 125048448. Its totient is φ = 7938048.

The previous prime is 34732319. The next prime is 34732333. The reversal of 34732320 is 2323743.

It is a happy number.

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 (24).

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, 1809 + ... + 8528.

It is an arithmetic number, because the mean of its divisors is an integer number (1302588).

Almost surely, 2^34732320 is an apocalyptic number.

34732320 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 34732320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62524224).

34732320 is an abundant number, since it is smaller than the sum of its proper divisors (90316128).

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

34732320 is a wasteful number, since it uses less digits than its factorization.

34732320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10362 (or 10354 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 24.

The square root of 34732320 is about 5893.4132724593. The cubic root of 34732320 is about 326.2705922030.

The spelling of 34732320 in words is "thirty-four million, seven hundred thirty-two thousand, three hundred twenty".