34874200 has 48 divisors (see below), whose sum is σ = 81780480. Its totient is φ = 13829760.

The previous prime is 34874197. The next prime is 34874201. The reversal of 34874200 is 247843.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34874201) 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, 24714 + ... + 26086.

It is an arithmetic number, because the mean of its divisors is an integer number (1703760).

Almost surely, 2^34874200 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 34874200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40890240).

34874200 is an abundant number, since it is smaller than the sum of its proper divisors (46906280).

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

34874200 is a wasteful number, since it uses less digits than its factorization.

34874200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1516 (or 1507 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 28.

The square root of 34874200 is about 5905.4381717194. The cubic root of 34874200 is about 326.7142556427.

The spelling of 34874200 in words is "thirty-four million, eight hundred seventy-four thousand, two hundred".