36362120 has 64 divisors (see below), whose sum is σ = 85363200. Its totient is φ = 13927680.

The previous prime is 36362111. The next prime is 36362141. The reversal of 36362120 is 2126363.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 116765 + ... + 117075.

It is an arithmetic number, because the mean of its divisors is an integer number (1333800).

Almost surely, 2^36362120 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 36362120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42681600).

36362120 is an abundant number, since it is smaller than the sum of its proper divisors (49001080).

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

36362120 is a wasteful number, since it uses less digits than its factorization.

36362120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 438 (or 434 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 23.

The square root of 36362120 is about 6030.1011600138. The cubic root of 36362120 is about 331.2961573274.

Adding to 36362120 its reverse (2126363), we get a palindrome (38488483).

The spelling of 36362120 in words is "thirty-six million, three hundred sixty-two thousand, one hundred twenty".