36704000 has 144 divisors (see below), whose sum is σ = 96934656. Its totient is φ = 13824000.

The previous prime is 36703993. The next prime is 36704027. The reversal of 36704000 is 40763.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 991982 + ... + 992018.

Almost surely, 2^36704000 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 36704000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48467328).

36704000 is an abundant number, since it is smaller than the sum of its proper divisors (60230656).

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

36704000 is an equidigital number, since it uses as much as digits as its factorization.

36704000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 99 (or 75 counting only the distinct ones).

The product of its (nonzero) digits is 504, while the sum is 20.

The square root of 36704000 is about 6058.3826224497. The cubic root of 36704000 is about 332.3312125029.

Adding to 36704000 its reverse (40763), we get a palindrome (36744763).

The spelling of 36704000 in words is "thirty-six million, seven hundred four thousand".