36121488 has 80 divisors (see below), whose sum is σ = 101618496. Its totient is φ = 10990080.

The previous prime is 36121487. The next prime is 36121493. The reversal of 36121488 is 88412163.

It is a Smith number, since the sum of its digits (33) 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 not an unprimeable number, because it can be changed into a prime (36121483) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 66498 + ... + 67038.

Almost surely, 2^36121488 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 36121488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50809248).

36121488 is an abundant number, since it is smaller than the sum of its proper divisors (65497008).

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

36121488 is a wasteful number, since it uses less digits than its factorization.

36121488 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 672 (or 666 counting only the distinct ones).

The product of its digits is 9216, while the sum is 33.

The square root of 36121488 is about 6010.1154731003. The cubic root of 36121488 is about 330.5637379808.

The spelling of 36121488 in words is "thirty-six million, one hundred twenty-one thousand, four hundred eighty-eight".