34642000 has 40 divisors (see below), whose sum is σ = 83769192. Its totient is φ = 13856000.

The previous prime is 34641991. The next prime is 34642001. The reversal of 34642000 is 24643.

It can be written as a sum of positive squares in 4 ways, for example, as 3594816 + 31047184 = 1896^2 + 5572^2 .

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 (34642001) 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 7 ways as a sum of consecutive naturals, for example, 6661 + ... + 10660.

Almost surely, 2^34642000 is an apocalyptic number.

It is an amenable number.

34642000 is an abundant number, since it is smaller than the sum of its proper divisors (49127192).

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

34642000 is a wasteful number, since it uses less digits than its factorization.

34642000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17344 (or 17328 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 19.

The square root of 34642000 is about 5885.7454922890. The cubic root of 34642000 is about 325.9875288491.

Adding to 34642000 its reverse (24643), we get a palindrome (34666643).

The spelling of 34642000 in words is "thirty-four million, six hundred forty-two thousand".