34132320 has 96 divisors (see below), whose sum is σ = 119478240. Its totient is φ = 9100800.

The previous prime is 34132261. The next prime is 34132321. The reversal of 34132320 is 2323143.

34132320 is a `hidden beast` number, since 341 + 3 + 2 + 320 = 666.

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 (18).

It is a junction number, because it is equal to n+sod(n) for n = 34132293 and 34132302.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34132321) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 370 + ... + 8270.

It is an arithmetic number, because the mean of its divisors is an integer number (1244565).

Almost surely, 2^34132320 is an apocalyptic number.

34132320 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 34132320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59739120).

34132320 is an abundant number, since it is smaller than the sum of its proper divisors (85345920).

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

34132320 is a wasteful number, since it uses less digits than its factorization.

34132320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7925 (or 7911 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 18.

The square root of 34132320 is about 5842.2872233398. The cubic root of 34132320 is about 324.3808963478.

Adding to 34132320 its reverse (2323143), we get a palindrome (36455463).

The spelling of 34132320 in words is "thirty-four million, one hundred thirty-two thousand, three hundred twenty".