36834200 has 96 divisors (see below), whose sum is σ = 95410560. Its totient is φ = 13132800.

The previous prime is 36834197. The next prime is 36834211. The reversal of 36834200 is 243863.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a self number, because there is not a number n which added to its sum of digits gives 36834200.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 80372 + ... + 80828.

It is an arithmetic number, because the mean of its divisors is an integer number (993860).

Almost surely, 2^36834200 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 36834200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47705280).

36834200 is an abundant number, since it is smaller than the sum of its proper divisors (58576360).

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

36834200 is a wasteful number, since it uses less digits than its factorization.

36834200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 517 (or 508 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 26.

The square root of 36834200 is about 6069.1185521458. The cubic root of 36834200 is about 332.7237079727.

The spelling of 36834200 in words is "thirty-six million, eight hundred thirty-four thousand, two hundred".