34220880 has 100 divisors (see below), whose sum is σ = 118876692. Its totient is φ = 9123840.

The previous prime is 34220863. The next prime is 34220891. The reversal of 34220880 is 8802243.

It can be written as a sum of positive squares in 2 ways, for example, as 8088336 + 26132544 = 2844^2 + 5112^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 3840 + ... + 9120.

Almost surely, 2^34220880 is an apocalyptic number.

34220880 is a gapful number since it is divisible by the number (30) 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 34220880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59438346).

34220880 is an abundant number, since it is smaller than the sum of its proper divisors (84655812).

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

34220880 is a wasteful number, since it uses less digits than its factorization.

34220880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5306 (or 5291 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

The square root of 34220880 is about 5849.8615368229. The cubic root of 34220880 is about 324.6612011798.

The spelling of 34220880 in words is "thirty-four million, two hundred twenty thousand, eight hundred eighty".