34291680 has 96 divisors (see below), whose sum is σ = 108864000. Its totient is φ = 9073152.

The previous prime is 34291667. The next prime is 34291709. The reversal of 34291680 is 8619243.

34291680 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 (96).

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, 95341 + ... + 95699.

It is an arithmetic number, because the mean of its divisors is an integer number (1134000).

Almost surely, 2^34291680 is an apocalyptic number.

34291680 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 34291680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54432000).

34291680 is an abundant number, since it is smaller than the sum of its proper divisors (74572320).

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

34291680 is a wasteful number, since it uses less digits than its factorization.

34291680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 576 (or 568 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 33.

The square root of 34291680 is about 5855.9098353714. The cubic root of 34291680 is about 324.8849454672.

The spelling of 34291680 in words is "thirty-four million, two hundred ninety-one thousand, six hundred eighty".