34381680 has 40 divisors (see below), whose sum is σ = 106583952. Its totient is φ = 9168384.

The previous prime is 34381663. The next prime is 34381681. The reversal of 34381680 is 8618343.

It is a tau number, because it is divible by the number of its divisors (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34381681) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 71389 + ... + 71868.

Almost surely, 2^34381680 is an apocalyptic number.

34381680 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

34381680 is an abundant number, since it is smaller than the sum of its proper divisors (72202272).

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

34381680 is a wasteful number, since it uses less digits than its factorization.

34381680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 143273 (or 143267 counting only the distinct ones).

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

The square root of 34381680 is about 5863.5893444204. The cubic root of 34381680 is about 325.1689220478.

The spelling of 34381680 in words is "thirty-four million, three hundred eighty-one thousand, six hundred eighty".