34681360 has 80 divisors (see below), whose sum is σ = 97600896. Its totient is φ = 11188224.

The previous prime is 34681357. The next prime is 34681369. The reversal of 34681360 is 6318643.

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

It is not an unprimeable number, because it can be changed into a prime (34681369) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7699 + ... + 11341.

Almost surely, 2^34681360 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34681360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48800448).

34681360 is an abundant number, since it is smaller than the sum of its proper divisors (62919536).

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

34681360 is a wasteful number, since it uses less digits than its factorization.

34681360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3680 (or 3674 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 31.

The square root of 34681360 is about 5889.0882146560. The cubic root of 34681360 is about 326.1109437092.

The spelling of 34681360 in words is "thirty-four million, six hundred eighty-one thousand, three hundred sixty".