36212800 has 84 divisors (see below), whose sum is σ = 96015556. Its totient is φ = 13363200.

The previous prime is 36212797. The next prime is 36212807. The reversal of 36212800 is 821263.

It can be written as a sum of positive squares in 6 ways, for example, as 15492096 + 20720704 = 3936^2 + 4552^2 .

It is a super-2 number, since 2×36212800² = 2622733767680000, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (36212807) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 19930 + ... + 21670.

Almost surely, 2^36212800 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 36212800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48007778).

36212800 is an abundant number, since it is smaller than the sum of its proper divisors (59802756).

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

36212800 is a wasteful number, since it uses less digits than its factorization.

36212800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1776 (or 1761 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 22.

The square root of 36212800 is about 6017.7072045755. The cubic root of 36212800 is about 330.8420491175.

The spelling of 36212800 in words is "thirty-six million, two hundred twelve thousand, eight hundred".