34809472 has 48 divisors (see below), whose sum is σ = 73744470. Its totient is φ = 16363520.

The previous prime is 34809457. The next prime is 34809473. The reversal of 34809472 is 27490843.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 34762816 + 46656 = 5896^2 + 216^2 .

It is not an unprimeable number, because it can be changed into a prime (34809473) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 36522 + ... + 37462.

Almost surely, 2^34809472 is an apocalyptic number.

34809472 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 34809472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36872235).

34809472 is an abundant number, since it is smaller than the sum of its proper divisors (38934998).

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

34809472 is an equidigital number, since it uses as much as digits as its factorization.

34809472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 989 (or 960 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 37.

The square root of 34809472 is about 5899.9552540676. The cubic root of 34809472 is about 326.5119986022.

The spelling of 34809472 in words is "thirty-four million, eight hundred nine thousand, four hundred seventy-two".