36814400 has 168 divisors, whose sum is σ = 109606080. Its totient is φ = 11888640.

The previous prime is 36814387. The next prime is 36814409. The reversal of 36814400 is 441863.

It is a self number, because there is not a number n which added to its sum of digits gives 36814400.

It is not an unprimeable number, because it can be changed into a prime (36814409) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 212714 + ... + 212886.

Almost surely, 2^36814400 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 36814400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54803040).

36814400 is an abundant number, since it is smaller than the sum of its proper divisors (72791680).

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

36814400 is a wasteful number, since it uses less digits than its factorization.

36814400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 221 (or 206 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 26.

The square root of 36814400 is about 6067.4871240078. The cubic root of 36814400 is about 332.6640794191.

The spelling of 36814400 in words is "thirty-six million, eight hundred fourteen thousand, four hundred".