34630880 has 48 divisors (see below), whose sum is σ = 82664064. Its totient is φ = 13708800.

The previous prime is 34630831. The next prime is 34630913. The reversal of 34630880 is 8803643.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 15089 + ... + 17231.

It is an arithmetic number, because the mean of its divisors is an integer number (1722168).

Almost surely, 2^34630880 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 34630880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41332032).

34630880 is an abundant number, since it is smaller than the sum of its proper divisors (48033184).

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

34630880 is a wasteful number, since it uses less digits than its factorization.

34630880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2259 (or 2251 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 32.

The square root of 34630880 is about 5884.8007612833. The cubic root of 34630880 is about 325.9526447079.

The spelling of 34630880 in words is "thirty-four million, six hundred thirty thousand, eight hundred eighty".