36449136 has 80 divisors (see below), whose sum is σ = 105548800. Its totient is φ = 12042432.

The previous prime is 36449129. The next prime is 36449141. The reversal of 36449136 is 63194463.

36449136 is a `hidden beast` number, since 3 + 644 + 9 + 1 + 3 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

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

It is a self number, because there is not a number n which added to its sum of digits gives 36449136.

It is a congruent number.

It is an unprimeable number.

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, 59745 + ... + 60351.

It is an arithmetic number, because the mean of its divisors is an integer number (1319360).

Almost surely, 2^36449136 is an apocalyptic number.

36449136 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 36449136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52774400).

36449136 is an abundant number, since it is smaller than the sum of its proper divisors (69099664).

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

36449136 is a wasteful number, since it uses less digits than its factorization.

36449136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 763 (or 751 counting only the distinct ones).

The product of its digits is 46656, while the sum is 36.

The square root of 36449136 is about 6037.3119846501. The cubic root of 36449136 is about 331.5602151012.

It can be divided in two parts, 36449 and 136, that added together give a triangular number (36585 = T₂₇₀).

The spelling of 36449136 in words is "thirty-six million, four hundred forty-nine thousand, one hundred thirty-six".