36484032 has 112 divisors (see below), whose sum is σ = 106509312. Its totient is φ = 10951680.

The previous prime is 36484031. The next prime is 36484033. The reversal of 36484032 is 23048463.

It is an interprime number because it is at equal distance from previous prime (36484031) and next prime (36484033).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (36484031) 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, 117157 + ... + 117467.

It is an arithmetic number, because the mean of its divisors is an integer number (950976).

Almost surely, 2^36484032 is an apocalyptic number.

36484032 is a gapful number since it is divisible by the number (32) 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 36484032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53254656).

36484032 is an abundant number, since it is smaller than the sum of its proper divisors (70025280).

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

36484032 is a wasteful number, since it uses less digits than its factorization.

36484032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 386 (or 376 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 30.

The square root of 36484032 is about 6040.2013211482. The cubic root of 36484032 is about 331.6659920471.

The spelling of 36484032 in words is "thirty-six million, four hundred eighty-four thousand, thirty-two".