34052880 has 160 divisors (see below), whose sum is σ = 114278400. Its totient is φ = 8363520.

The previous prime is 34052869. The next prime is 34052881. The reversal of 34052880 is 8825043.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (34052881) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 171021 + ... + 171219.

It is an arithmetic number, because the mean of its divisors is an integer number (714240).

Almost surely, 2^34052880 is an apocalyptic number.

34052880 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 34052880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57139200).

34052880 is an abundant number, since it is smaller than the sum of its proper divisors (80225520).

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

34052880 is a wasteful number, since it uses less digits than its factorization.

34052880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 269 (or 263 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 30.

The square root of 34052880 is about 5835.4845557160. The cubic root of 34052880 is about 324.1290447708.

The spelling of 34052880 in words is "thirty-four million, fifty-two thousand, eight hundred eighty".