36413800 has 48 divisors (see below), whose sum is σ = 85580460. Its totient is φ = 14407680.

The previous prime is 36413789. The next prime is 36413803. The reversal of 36413800 is 831463.

It can be written as a sum of positive squares in 6 ways, for example, as 14455204 + 21958596 = 3802^2 + 4686^2 .

It is a Harshad number since it is a multiple of its sum of digits (25).

It is not an unprimeable number, because it can be changed into a prime (36413803) 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 11 ways as a sum of consecutive naturals, for example, 18462 + ... + 20338.

Almost surely, 2^36413800 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 36413800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42790230).

36413800 is an abundant number, since it is smaller than the sum of its proper divisors (49166660).

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

36413800 is a wasteful number, since it uses less digits than its factorization.

36413800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1990 (or 1981 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 25.

The square root of 36413800 is about 6034.3848070868. The cubic root of 36413800 is about 331.4530356071.

The spelling of 36413800 in words is "thirty-six million, four hundred thirteen thousand, eight hundred".