36694800 has 90 divisors (see below), whose sum is σ = 127353642. Its totient is φ = 9784320.

The previous prime is 36694783. The next prime is 36694813. The reversal of 36694800 is 849663.

36694800 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 3 ways, for example, as 4613904 + 32080896 = 2148^2 + 5664^2 .

It is a tau number, because it is divible by the number of its divisors (90).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 1497 + ... + 8696.

Almost surely, 2^36694800 is an apocalyptic number.

36694800 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 36694800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63676821).

36694800 is an abundant number, since it is smaller than the sum of its proper divisors (90658842).

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

36694800 is a wasteful number, since it uses less digits than its factorization.

36694800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10217 (or 10203 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The square root of 36694800 is about 6057.6232963102. The cubic root of 36694800 is about 332.3034434800.

The spelling of 36694800 in words is "thirty-six million, six hundred ninety-four thousand, eight hundred".