36263800 has 48 divisors (see below), whose sum is σ = 87048000. Its totient is φ = 14035200.

The previous prime is 36263797. The next prime is 36263807. The reversal of 36263800 is 836263.

36263800 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (36263807) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3276 + ... + 9124.

It is an arithmetic number, because the mean of its divisors is an integer number (1813500).

Almost surely, 2^36263800 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 36263800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43524000).

36263800 is an abundant number, since it is smaller than the sum of its proper divisors (50784200).

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

36263800 is a wasteful number, since it uses less digits than its factorization.

36263800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5896 (or 5887 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 28.

The square root of 36263800 is about 6021.9432079687. The cubic root of 36263800 is about 330.9972891592.

The spelling of 36263800 in words is "thirty-six million, two hundred sixty-three thousand, eight hundred".