36794000 has 40 divisors (see below), whose sum is σ = 88972728. Its totient is φ = 14716800.

The previous prime is 36793973. The next prime is 36794029. The reversal of 36794000 is 49763.

It can be written as a sum of positive squares in 4 ways, for example, as 21904 + 36772096 = 148^2 + 6064^2 .

It is a tau number, because it is divible by the number of its divisors (40).

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 7 ways as a sum of consecutive naturals, for example, 7199 + ... + 11198.

Almost surely, 2^36794000 is an apocalyptic number.

It is an amenable number.

36794000 is an abundant number, since it is smaller than the sum of its proper divisors (52178728).

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

36794000 is a wasteful number, since it uses less digits than its factorization.

36794000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18420 (or 18404 counting only the distinct ones).

The product of its (nonzero) digits is 4536, while the sum is 29.

The square root of 36794000 is about 6065.8057997269. The cubic root of 36794000 is about 332.6026215737.

The spelling of 36794000 in words is "thirty-six million, seven hundred ninety-four thousand".