34772480 has 120 divisors (see below), whose sum is σ = 90449568. Its totient is φ = 12812288.

The previous prime is 34772477. The next prime is 34772503. The reversal of 34772480 is 8427743.

It is a self number, because there is not a number n which added to its sum of digits gives 34772480.

It is a congruent number.

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 11 ways as a sum of consecutive naturals, for example, 739817 + ... + 739863.

Almost surely, 2^34772480 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34772480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45224784).

34772480 is an abundant number, since it is smaller than the sum of its proper divisors (55677088).

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

34772480 is an equidigital number, since it uses as much as digits as its factorization.

34772480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 104 (or 71 counting only the distinct ones).

The product of its (nonzero) digits is 37632, while the sum is 35.

The square root of 34772480 is about 5896.8194817206. The cubic root of 34772480 is about 326.3962962543.

It can be divided in two parts, 347 and 72480, that added together give a palindrome (72827).

The spelling of 34772480 in words is "thirty-four million, seven hundred seventy-two thousand, four hundred eighty".