34814880 has 96 divisors (see below), whose sum is σ = 121867200. Its totient is φ = 9282816.

The previous prime is 34814873. The next prime is 34814881. The reversal of 34814880 is 8841843.

It is a tau number, because it is divible by the number of its divisors (96).

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

It is not an unprimeable number, because it can be changed into a prime (34814881) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 291 + ... + 8349.

It is an arithmetic number, because the mean of its divisors is an integer number (1269450).

Almost surely, 2^34814880 is an apocalyptic number.

34814880 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 34814880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60933600).

34814880 is an abundant number, since it is smaller than the sum of its proper divisors (87052320).

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

34814880 is a wasteful number, since it uses less digits than its factorization.

34814880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8083 (or 8069 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 36.

The square root of 34814880 is about 5900.4135448289. The cubic root of 34814880 is about 326.5289066960.

The spelling of 34814880 in words is "thirty-four million, eight hundred fourteen thousand, eight hundred eighty".