36788136 has 128 divisors (see below), whose sum is σ = 121512960. Its totient is φ = 8985600.

The previous prime is 36788099. The next prime is 36788183. The reversal of 36788136 is 63188763.

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

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 30831 + ... + 32001.

It is an arithmetic number, because the mean of its divisors is an integer number (949320).

Almost surely, 2^36788136 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 36788136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60756480).

36788136 is an abundant number, since it is smaller than the sum of its proper divisors (84724824).

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

36788136 is a wasteful number, since it uses less digits than its factorization.

36788136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1215 (or 1211 counting only the distinct ones).

The product of its digits is 145152, while the sum is 42.

The square root of 36788136 is about 6065.3224151730. The cubic root of 36788136 is about 332.5849512525.

The spelling of 36788136 in words is "thirty-six million, seven hundred eighty-eight thousand, one hundred thirty-six".