34114560 has 88 divisors (see below), whose sum is σ = 109162416. Its totient is φ = 9093120.

The previous prime is 34114537. The next prime is 34114573. The reversal of 34114560 is 6541143.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 34114560.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 14250 + ... + 16470.

It is an arithmetic number, because the mean of its divisors is an integer number (1240482).

Almost surely, 2^34114560 is an apocalyptic number.

34114560 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 34114560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54581208).

34114560 is an abundant number, since it is smaller than the sum of its proper divisors (75047856).

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

34114560 is a wasteful number, since it uses less digits than its factorization.

34114560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2249 (or 2231 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 24.

The square root of 34114560 is about 5840.7670729109. The cubic root of 34114560 is about 324.3246251048.

The spelling of 34114560 in words is "thirty-four million, one hundred fourteen thousand, five hundred sixty".