34320480 has 96 divisors (see below), whose sum is σ = 109154304. Its totient is φ = 9063936.

The previous prime is 34320463. The next prime is 34320487. The reversal of 34320480 is 8402343.

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 a self number, because there is not a number n which added to its sum of digits gives 34320480.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34320487) 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, 60679 + ... + 61241.

It is an arithmetic number, because the mean of its divisors is an integer number (1137024).

Almost surely, 2^34320480 is an apocalyptic number.

34320480 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 34320480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54577152).

34320480 is an abundant number, since it is smaller than the sum of its proper divisors (74833824).

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

34320480 is a wasteful number, since it uses less digits than its factorization.

34320480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 708 (or 700 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

The square root of 34320480 is about 5858.3683735320. The cubic root of 34320480 is about 324.9758719760.

The spelling of 34320480 in words is "thirty-four million, three hundred twenty thousand, four hundred eighty".