36281376 has 72 divisors (see below), whose sum is σ = 103783680. Its totient is φ = 12022656.

The previous prime is 36281369. The next prime is 36281389. The reversal of 36281376 is 67318263.

It is a happy number.

36281376 is a `hidden beast` number, since 3 + 6 + 281 + 376 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

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 a self number, because there is not a number n which added to its sum of digits gives 36281376.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 75505 + ... + 75983.

It is an arithmetic number, because the mean of its divisors is an integer number (1441440).

Almost surely, 2^36281376 is an apocalyptic number.

36281376 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 36281376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51891840).

36281376 is an abundant number, since it is smaller than the sum of its proper divisors (67502304).

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

36281376 is a wasteful number, since it uses less digits than its factorization.

36281376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 758 (or 747 counting only the distinct ones).

The product of its digits is 36288, while the sum is 36.

The square root of 36281376 is about 6023.4023607924. The cubic root of 36281376 is about 331.0507554142.

The spelling of 36281376 in words is "thirty-six million, two hundred eighty-one thousand, three hundred seventy-six".