36358080 has 168 divisors, whose sum is σ = 127290576. Its totient is φ = 8785920.

The previous prime is 36358079. The next prime is 36358097. The reversal of 36358080 is 8085363.

It is a Harshad number since it is a multiple of its sum of digits (33).

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 23 ways as a sum of consecutive naturals, for example, 116004 + ... + 116316.

It is an arithmetic number, because the mean of its divisors is an integer number (757682).

Almost surely, 2^36358080 is an apocalyptic number.

36358080 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 36358080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63645288).

36358080 is an abundant number, since it is smaller than the sum of its proper divisors (90932496).

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

36358080 is a wasteful number, since it uses less digits than its factorization.

36358080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 355 (or 334 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 33.

The square root of 36358080 is about 6029.7661646203. The cubic root of 36358080 is about 331.2838873603.

The spelling of 36358080 in words is "thirty-six million, three hundred fifty-eight thousand, eighty".