36800814 has 24 divisors (see below), whose sum is σ = 74367720. Its totient is φ = 12140400.

The previous prime is 36800779. The next prime is 36800849. The reversal of 36800814 is 41800863.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (36800779) and next prime (36800849).

It is a super-2 number, since 2×36800814² = 2708599822125192, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

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, 136672 + ... + 136940.

It is an arithmetic number, because the mean of its divisors is an integer number (3098655).

Almost surely, 2^36800814 is an apocalyptic number.

36800814 is an abundant number, since it is smaller than the sum of its proper divisors (37566906).

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

36800814 is a wasteful number, since it uses less digits than its factorization.

36800814 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 576 (or 425 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 30.

The square root of 36800814 is about 6066.3674468334. The cubic root of 36800814 is about 332.6231522252.

The spelling of 36800814 in words is "thirty-six million, eight hundred thousand, eight hundred fourteen".