34201320 has 64 divisors (see below), whose sum is σ = 105390720. Its totient is φ = 8872704.

The previous prime is 34201313. The next prime is 34201333. The reversal of 34201320 is 2310243.

34201320 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 34201320.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 589 + ... + 8291.

It is an arithmetic number, because the mean of its divisors is an integer number (1646730).

Almost surely, 2^34201320 is an apocalyptic number.

34201320 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 34201320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52695360).

34201320 is an abundant number, since it is smaller than the sum of its proper divisors (71189400).

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

34201320 is a wasteful number, since it uses less digits than its factorization.

34201320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7754 (or 7750 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 15.

The square root of 34201320 is about 5848.1894634152. The cubic root of 34201320 is about 324.5993326813.

Adding to 34201320 its reverse (2310243), we get a palindrome (36511563).

The spelling of 34201320 in words is "thirty-four million, two hundred one thousand, three hundred twenty".