34333680 has 80 divisors (see below), whose sum is σ = 110126880. Its totient is φ = 8838144.

The previous prime is 34333679. The next prime is 34333721. The reversal of 34333680 is 8633343.

34333680 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (80).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4494 + ... + 9426.

It is an arithmetic number, because the mean of its divisors is an integer number (1376586).

Almost surely, 2^34333680 is an apocalyptic number.

34333680 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 34333680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55063440).

34333680 is an abundant number, since it is smaller than the sum of its proper divisors (75793200).

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

34333680 is a wasteful number, since it uses less digits than its factorization.

34333680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4978 (or 4972 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 30.

The square root of 34333680 is about 5859.4948587741. The cubic root of 34333680 is about 325.0175296265.

The spelling of 34333680 in words is "thirty-four million, three hundred thirty-three thousand, six hundred eighty".