36361140 has 96 divisors (see below), whose sum is σ = 106638336. Its totient is φ = 9246720.

The previous prime is 36361139. The next prime is 36361141. The reversal of 36361140 is 4116363.

Added to its reverse (4116363) it gives a triangular number (40477503 = T₈₉₉₇).

36361140 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (36361139) and next prime (36361141).

It is a self number, because there is not a number n which added to its sum of digits gives 36361140.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (36361141) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 210094 + ... + 210266.

It is an arithmetic number, because the mean of its divisors is an integer number (1110816).

Almost surely, 2^36361140 is an apocalyptic number.

36361140 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 36361140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53319168).

36361140 is an abundant number, since it is smaller than the sum of its proper divisors (70277196).

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

36361140 is a wasteful number, since it uses less digits than its factorization.

36361140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 329 (or 327 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 24.

The square root of 36361140 is about 6030.0199004647. The cubic root of 36361140 is about 331.2931810327.

Adding to 36361140 its reverse (4116363), we get a triangular number (40477503 = T₈₉₉₇).

The spelling of 36361140 in words is "thirty-six million, three hundred sixty-one thousand, one hundred forty".