34831680 has 112 divisors (see below), whose sum is σ = 119140224. Its totient is φ = 8570880.

The previous prime is 34831679. The next prime is 34831703. The reversal of 34831680 is 8613843.

It is a hoax number, since the sum of its digits (33) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

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, 11085 + ... + 13875.

It is an arithmetic number, because the mean of its divisors is an integer number (1063752).

Almost surely, 2^34831680 is an apocalyptic number.

34831680 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 34831680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59570112).

34831680 is an abundant number, since it is smaller than the sum of its proper divisors (84308544).

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

34831680 is a wasteful number, since it uses less digits than its factorization.

34831680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2824 (or 2814 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 33.

The square root of 34831680 is about 5901.8370021545. The cubic root of 34831680 is about 326.5814206737.

It can be divided in two parts, 34831 and 680, that added together give a triangular number (35511 = T₂₆₆).

The spelling of 34831680 in words is "thirty-four million, eight hundred thirty-one thousand, six hundred eighty".