36109440 has 96 divisors (see below), whose sum is σ = 124710300. Its totient is φ = 9627648.

The previous prime is 36109439. The next prime is 36109459. The reversal of 36109440 is 4490163.

36109440 is a `hidden beast` number, since 3 + 610 + 9 + 4 + 40 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 35141184 + 968256 = 5928^2 + 984^2 .

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×36109440² = 2607783314227200, which contains 22 as substring.

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 11 ways as a sum of consecutive naturals, for example, 2626 + ... + 8894.

Almost surely, 2^36109440 is an apocalyptic number.

36109440 is a gapful number since it is divisible by the number (30) 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 36109440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62355150).

36109440 is an abundant number, since it is smaller than the sum of its proper divisors (88600860).

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

36109440 is a wasteful number, since it uses less digits than its factorization.

36109440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6294 (or 6279 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The square root of 36109440 is about 6009.1130793154. The cubic root of 36109440 is about 330.5269816989.

The spelling of 36109440 in words is "thirty-six million, one hundred nine thousand, four hundred forty".