34890200 has 48 divisors (see below), whose sum is σ = 83026680. Its totient is φ = 13628160.

The previous prime is 34890199. The next prime is 34890203. The reversal of 34890200 is 209843.

It is a self number, because there is not a number n which added to its sum of digits gives 34890200.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34890203) 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, 6572 + ... + 10628.

Almost surely, 2^34890200 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 34890200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41513340).

34890200 is an abundant number, since it is smaller than the sum of its proper divisors (48136480).

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

34890200 is a wasteful number, since it uses less digits than its factorization.

34890200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4116 (or 4107 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 26.

The square root of 34890200 is about 5906.7926999345. The cubic root of 34890200 is about 326.7642126200.

The spelling of 34890200 in words is "thirty-four million, eight hundred ninety thousand, two hundred".