36999936 has 144 divisors (see below), whose sum is σ = 112583520. Its totient is φ = 11980800.

The previous prime is 36999931. The next prime is 36999959. The reversal of 36999936 is 63999963.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (54).

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

It is a nialpdrome in base 9.

It is not an unprimeable number, because it can be changed into a prime (36999931) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 366286 + ... + 366386.

It is an arithmetic number, because the mean of its divisors is an integer number (781830).

Almost surely, 2^36999936 is an apocalyptic number.

36999936 is a gapful number since it is divisible by the number (36) 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 36999936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56291760).

36999936 is an abundant number, since it is smaller than the sum of its proper divisors (75583584).

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

36999936 is a wasteful number, since it uses less digits than its factorization.

36999936 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 179 (or 159 counting only the distinct ones).

The product of its digits is 2125764, while the sum is 54.

The square root of 36999936 is about 6082.7572695284. The cubic root of 36999936 is about 333.2219930364.

The spelling of 36999936 in words is "thirty-six million, nine hundred ninety-nine thousand, nine hundred thirty-six".