36638574 has 64 divisors (see below), whose sum is σ = 90048000. Its totient is φ = 9906624.

The previous prime is 36638573. The next prime is 36638597. The reversal of 36638574 is 47583663.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (36638573) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 38634 + ... + 39570.

It is an arithmetic number, because the mean of its divisors is an integer number (1407000).

Almost surely, 2^36638574 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 36638574, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45024000).

36638574 is an abundant number, since it is smaller than the sum of its proper divisors (53409426).

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

36638574 is a wasteful number, since it uses less digits than its factorization.

36638574 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 982 (or 968 counting only the distinct ones).

The product of its digits is 362880, while the sum is 42.

The square root of 36638574 is about 6052.9805881070. The cubic root of 36638574 is about 332.1336315492.

The spelling of 36638574 in words is "thirty-six million, six hundred thirty-eight thousand, five hundred seventy-four".