34345472 has 90 divisors (see below), whose sum is σ = 82043577. Its totient is φ = 14321664.

The previous prime is 34345471. The next prime is 34345481. The reversal of 34345472 is 27454343.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 2 ways, for example, as 27709696 + 6635776 = 5264^2 + 2576^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=4144.

It is a super-2 number, since 2×34345472² = 2359222893805568, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is an alternating number because its digits alternate between odd and even.

It is not an unprimeable number, because it can be changed into a prime (34345471) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 928238 + ... + 928274.

Almost surely, 2^34345472 is an apocalyptic number.

34345472 is a gapful number since it is divisible by the number (32) 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 34345472

34345472 is an abundant number, since it is smaller than the sum of its proper divisors (47698105).

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

34345472 is an frugal number, since it uses more digits than its factorization.

34345472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 106 (or 46 counting only the distinct ones).

The product of its digits is 40320, while the sum is 32.

The square root of 34345472 is about 5860.5010024741. The cubic root of 34345472 is about 325.0547347656.

Multiplying 34345472 by its sum of digits (32), we get a square (1099055104 = 33152²).

34345472 divided by its sum of digits (32) gives a square (1073296 = 1036²).

The spelling of 34345472 in words is "thirty-four million, three hundred forty-five thousand, four hundred seventy-two".