36484992 has 224 divisors, whose sum is σ = 120404880. Its totient is φ = 10948608.

The previous prime is 36484979. The next prime is 36484993. The reversal of 36484992 is 29948463.

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.

Its product of digits (373248) is a multiple of the sum of its prime factors (72).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (36484993) 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 27 ways as a sum of consecutive naturals, for example, 1586293 + ... + 1586315.

Almost surely, 2^36484992 is an apocalyptic number.

36484992 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 36484992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60202440).

36484992 is an abundant number, since it is smaller than the sum of its proper divisors (83919888).

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

36484992 is an equidigital number, since it uses as much as digits as its factorization.

36484992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 72 (or 45 counting only the distinct ones).

The product of its digits is 373248, while the sum is 45.

The square root of 36484992 is about 6040.2807881753. The cubic root of 36484992 is about 331.6689010509.

The spelling of 36484992 in words is "thirty-six million, four hundred eighty-four thousand, nine hundred ninety-two".