34684992 has 42 divisors (see below), whose sum is σ = 99419918. Its totient is φ = 11561472.

The previous prime is 34684987. The next prime is 34684997. The reversal of 34684992 is 29948643.

It is an interprime number because it is at equal distance from previous prime (34684987) and next prime (34684997).

It can be written as a sum of positive squares in only one way, i.e., 17842176 + 16842816 = 4224^2 + 4104^2 .

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (34684997) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 29533 + ... + 30684.

Almost surely, 2^34684992 is an apocalyptic number.

34684992 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

34684992 is an abundant number, since it is smaller than the sum of its proper divisors (64734926).

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

34684992 is a wasteful number, since it uses less digits than its factorization.

34684992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 60235 (or 60222 counting only the distinct ones).

The product of its digits is 373248, while the sum is 45.

The square root of 34684992 is about 5889.3965735039. The cubic root of 34684992 is about 326.1223272843.

The spelling of 34684992 in words is "thirty-four million, six hundred eighty-four thousand, nine hundred ninety-two".