36393984 has 132 divisors (see below), whose sum is σ = 114959520. Its totient is φ = 10997760.

The previous prime is 36393979. The next prime is 36393989. The reversal of 36393984 is 48939363.

36393984 is a `hidden beast` number, since 3 + 639 + 3 + 9 + 8 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (36393979) and next prime (36393989).

It is a tau number, because it is divible by the number of its divisors (132).

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (36393989) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 101197 + ... + 101555.

Almost surely, 2^36393984 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 36393984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57479760).

36393984 is an abundant number, since it is smaller than the sum of its proper divisors (78565536).

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

36393984 is a wasteful number, since it uses less digits than its factorization.

36393984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 396 (or 375 counting only the distinct ones).

The product of its digits is 419904, while the sum is 45.

The square root of 36393984 is about 6032.7426598522. The cubic root of 36393984 is about 331.3929003000.

The spelling of 36393984 in words is "thirty-six million, three hundred ninety-three thousand, nine hundred eighty-four".