34487200 has 72 divisors (see below), whose sum is σ = 91869120. Its totient is φ = 12537600.

The previous prime is 34487137. The next prime is 34487209. The reversal of 34487200 is 278443.

It is not an unprimeable number, because it can be changed into a prime (34487209) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 6841 + ... + 10759.

It is an arithmetic number, because the mean of its divisors is an integer number (1275960).

Almost surely, 2^34487200 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 34487200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45934560).

34487200 is an abundant number, since it is smaller than the sum of its proper divisors (57381920).

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

34487200 is a wasteful number, since it uses less digits than its factorization.

34487200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3950 (or 3937 counting only the distinct ones).

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

The square root of 34487200 is about 5872.5803527921. The cubic root of 34487200 is about 325.5012383910.

It can be divided in two parts, 3448 and 7200, that added together give a cube (10648 = 22³).

The spelling of 34487200 in words is "thirty-four million, four hundred eighty-seven thousand, two hundred".