36889000 has 64 divisors (see below), whose sum is σ = 88742160. Its totient is φ = 14342400.

The previous prime is 36888991. The next prime is 36889001. The reversal of 36889000 is 98863.

It can be written as a sum of positive squares in 8 ways, for example, as 12068676 + 24820324 = 3474^2 + 4982^2 .

It is not an unprimeable number, because it can be changed into a prime (36889001) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 36502 + ... + 37498.

Almost surely, 2^36889000 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 36889000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44371080).

36889000 is an abundant number, since it is smaller than the sum of its proper divisors (51853160).

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

36889000 is a wasteful number, since it uses less digits than its factorization.

36889000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1055 (or 1041 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 34.

The square root of 36889000 is about 6073.6315331110. The cubic root of 36889000 is about 332.8886292008. Note that the first 3 decimals are identical.

It can be divided in two parts, 36 and 889000, that multiplied together give a triangular number (32004000 = T₈₀₀₀).

The spelling of 36889000 in words is "thirty-six million, eight hundred eighty-nine thousand".