34328880 has 160 divisors (see below), whose sum is σ = 123563520. Its totient is φ = 8743680.

The previous prime is 34328851. The next prime is 34328911. The reversal of 34328880 is 8882343.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 49335 + ... + 50025.

It is an arithmetic number, because the mean of its divisors is an integer number (772272).

Almost surely, 2^34328880 is an apocalyptic number.

34328880 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 34328880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61781760).

34328880 is an abundant number, since it is smaller than the sum of its proper divisors (89234640).

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

34328880 is a wasteful number, since it uses less digits than its factorization.

34328880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 736 (or 724 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The square root of 34328880 is about 5859.0852528360. The cubic root of 34328880 is about 325.0023826255.

The spelling of 34328880 in words is "thirty-four million, three hundred twenty-eight thousand, eight hundred eighty".