36358800 has 120 divisors (see below), whose sum is σ = 119471520. Its totient is φ = 9446400.

The previous prime is 36358789. The next prime is 36358807. The reversal of 36358800 is 885363.

It is a tau number, because it is divible by the number of its divisors (120).

It is not an unprimeable number, because it can be changed into a prime (36358807) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 48831 + ... + 49569.

It is an arithmetic number, because the mean of its divisors is an integer number (995596).

Almost surely, 2^36358800 is an apocalyptic number.

36358800 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 36358800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59735760).

36358800 is an abundant number, since it is smaller than the sum of its proper divisors (83112720).

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

36358800 is a wasteful number, since it uses less digits than its factorization.

36358800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 801 (or 790 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 33.

The square root of 36358800 is about 6029.8258681325. The cubic root of 36358800 is about 331.2860741536.

It can be divided in two parts, 363 and 58800, that multiplied together give a square (21344400 = 4620²).

The spelling of 36358800 in words is "thirty-six million, three hundred fifty-eight thousand, eight hundred".