34505472 has 72 divisors (see below), whose sum is σ = 92715840. Its totient is φ = 11392000.

The previous prime is 34505453. The next prime is 34505489. The reversal of 34505472 is 27450543.

It is a hoax number, since the sum of its digits (30) coincides with the sum of the digits of its distinct prime factors.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 137347 + ... + 137597.

It is an arithmetic number, because the mean of its divisors is an integer number (1287720).

Almost surely, 2^34505472 is an apocalyptic number.

34505472 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 34505472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46357920).

34505472 is an abundant number, since it is smaller than the sum of its proper divisors (58210368).

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

34505472 is a wasteful number, since it uses less digits than its factorization.

34505472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 449 (or 435 counting only the distinct ones).

The product of its (nonzero) digits is 16800, while the sum is 30.

The square root of 34505472 is about 5874.1358513402. The cubic root of 34505472 is about 325.5587139042.

The spelling of 34505472 in words is "thirty-four million, five hundred five thousand, four hundred seventy-two".