36001350 has 144 divisors (see below), whose sum is σ = 120706560. Its totient is φ = 7473600.

The previous prime is 36001313. The next prime is 36001367. The reversal of 36001350 is 5310063.

36001350 is a `hidden beast` number, since 3 + 600 + 13 + 50 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

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 71 ways as a sum of consecutive naturals, for example, 34131 + ... + 35169.

It is an arithmetic number, because the mean of its divisors is an integer number (838240).

Almost surely, 2^36001350 is an apocalyptic number.

36001350 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 36001350, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60353280).

36001350 is an abundant number, since it is smaller than the sum of its proper divisors (84705210).

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

36001350 is a wasteful number, since it uses less digits than its factorization.

36001350 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1075 (or 1067 counting only the distinct ones).

The product of its (nonzero) digits is 270, while the sum is 18.

The square root of 36001350 is about 6000.1124989453. The cubic root of 36001350 is about 330.1968522469.

It can be divided in two parts, 360013 and 50, that added together give a palindrome (360063).

The spelling of 36001350 in words is "thirty-six million, one thousand, three hundred fifty".