36438660 has 120 divisors (see below), whose sum is σ = 116113536. Its totient is φ = 9564480.

The previous prime is 36438659. The next prime is 36438707. The reversal of 36438660 is 6683463.

36438660 is a `hidden beast` number, since 3 + 643 + 8 + 6 + 6 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

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 39 ways as a sum of consecutive naturals, for example, 134325 + ... + 134595.

Almost surely, 2^36438660 is an apocalyptic number.

36438660 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 36438660, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58056768).

36438660 is an abundant number, since it is smaller than the sum of its proper divisors (79674876).

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

36438660 is a wasteful number, since it uses less digits than its factorization.

36438660 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 375 (or 364 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 36.

The square root of 36438660 is about 6036.4443176426. Note that the first 3 decimals coincide. The cubic root of 36438660 is about 331.5284470173.

The spelling of 36438660 in words is "thirty-six million, four hundred thirty-eight thousand, six hundred sixty".