34782368 has 48 divisors (see below), whose sum is σ = 72825480. Its totient is φ = 16321536.

The previous prime is 34782367. The next prime is 34782373. The reversal of 34782368 is 86328743.

It can be written as a sum of positive squares in 4 ways, for example, as 26091664 + 8690704 = 5108^2 + 2948^2 .

It is not an unprimeable number, because it can be changed into a prime (34782367) 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, 33830 + ... + 34842.

Almost surely, 2^34782368 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 34782368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36412740).

34782368 is an abundant number, since it is smaller than the sum of its proper divisors (38043112).

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

34782368 is a wasteful number, since it uses less digits than its factorization.

34782368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1089 (or 1081 counting only the distinct ones).

The product of its digits is 193536, while the sum is 41.

The square root of 34782368 is about 5897.6578401939. The cubic root of 34782368 is about 326.4272316444.

The spelling of 34782368 in words is "thirty-four million, seven hundred eighty-two thousand, three hundred sixty-eight".