36206400 has 168 divisors, whose sum is σ = 125354080. Its totient is φ = 9123840.

The previous prime is 36206399. The next prime is 36206441. The reversal of 36206400 is 460263.

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, 91002 + ... + 91398.

Almost surely, 2^36206400 is an apocalyptic number.

36206400 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 36206400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62677040).

36206400 is an abundant number, since it is smaller than the sum of its proper divisors (89147680).

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

36206400 is a wasteful number, since it uses less digits than its factorization.

36206400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 441 (or 426 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 21.

The square root of 36206400 is about 6017.1754170873. The cubic root of 36206400 is about 330.8225577235.

Adding to 36206400 its reverse (460263), we get a palindrome (36666663).

The spelling of 36206400 in words is "thirty-six million, two hundred six thousand, four hundred".