34618900 has 36 divisors (see below), whose sum is σ = 76259008. Its totient is φ = 13638240.

The previous prime is 34618897. The next prime is 34618901. The reversal of 34618900 is 981643.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34618901) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4117 + ... + 9283.

Almost surely, 2^34618900 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 34618900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38129504).

34618900 is an abundant number, since it is smaller than the sum of its proper divisors (41640108).

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

34618900 is a wasteful number, since it uses less digits than its factorization.

34618900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5248 (or 5241 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 31.

The square root of 34618900 is about 5883.7827968068. The cubic root of 34618900 is about 325.9150543352.

The spelling of 34618900 in words is "thirty-four million, six hundred eighteen thousand, nine hundred".