36349800 has 96 divisors (see below), whose sum is σ = 115171200. Its totient is φ = 9479680.

The previous prime is 36349787. The next prime is 36349837. The reversal of 36349800 is 894363.

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, 27556 + ... + 28844.

It is an arithmetic number, because the mean of its divisors is an integer number (1199700).

Almost surely, 2^36349800 is an apocalyptic number.

36349800 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 36349800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57585600).

36349800 is an abundant number, since it is smaller than the sum of its proper divisors (78821400).

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

36349800 is a wasteful number, since it uses less digits than its factorization.

36349800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1355 (or 1346 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 33.

The square root of 36349800 is about 6029.0795317362. The cubic root of 36349800 is about 331.2587371613.

The spelling of 36349800 in words is "thirty-six million, three hundred forty-nine thousand, eight hundred".