34854200 has 48 divisors (see below), whose sum is σ = 84570480. Its totient is φ = 13333760.

The previous prime is 34854187. The next prime is 34854251. The reversal of 34854200 is 245843.

It is a self number, because there is not a number n which added to its sum of digits gives 34854200.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 812 + ... + 8388.

It is an arithmetic number, because the mean of its divisors is an integer number (1761885).

Almost surely, 2^34854200 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 34854200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42285240).

34854200 is an abundant number, since it is smaller than the sum of its proper divisors (49716280).

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

34854200 is a wasteful number, since it uses less digits than its factorization.

34854200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7616 (or 7607 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 26.

The square root of 34854200 is about 5903.7445744205. The cubic root of 34854200 is about 326.6517879289.

The spelling of 34854200 in words is "thirty-four million, eight hundred fifty-four thousand, two hundred".