36800224 has 24 divisors (see below), whose sum is σ = 74789568. Its totient is φ = 17806080.

The previous prime is 36800221. The next prime is 36800227. The reversal of 36800224 is 42200863.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (36800221) and next prime (36800227).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (36800221) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 17557 + ... + 19540.

It is an arithmetic number, because the mean of its divisors is an integer number (3116232).

Almost surely, 2^36800224 is an apocalyptic number.

It is an amenable number.

36800224 is an abundant number, since it is smaller than the sum of its proper divisors (37989344).

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

36800224 is a wasteful number, since it uses less digits than its factorization.

36800224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37138 (or 37130 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 25.

The square root of 36800224 is about 6066.3188178664. The cubic root of 36800224 is about 332.6213746494.

The spelling of 36800224 in words is "thirty-six million, eight hundred thousand, two hundred twenty-four".