36735048 has 96 divisors (see below), whose sum is σ = 118684800. Its totient is φ = 10036224.

The previous prime is 36735019. The next prime is 36735067. The reversal of 36735048 is 84053763.

It is a happy number.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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 23 ways as a sum of consecutive naturals, for example, 10008 + ... + 13176.

It is an arithmetic number, because the mean of its divisors is an integer number (1236300).

Almost surely, 2^36735048 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 36735048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59342400).

36735048 is an abundant number, since it is smaller than the sum of its proper divisors (81949752).

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

36735048 is a wasteful number, since it uses less digits than its factorization.

36735048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3211 (or 3204 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 36.

The square root of 36735048 is about 6060.9444808544. The cubic root of 36735048 is about 332.4248926781.

The spelling of 36735048 in words is "thirty-six million, seven hundred thirty-five thousand, forty-eight".