36218880 has 192 divisors, whose sum is σ = 129729600. Its totient is φ = 9584640.

The previous prime is 36218851. The next prime is 36218887. The reversal of 36218880 is 8881263.

It is a tau number, because it is divible by the number of its divisors (192).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (36218887) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 276415 + ... + 276545.

It is an arithmetic number, because the mean of its divisors is an integer number (675675).

Almost surely, 2^36218880 is an apocalyptic number.

36218880 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 36218880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64864800).

36218880 is an abundant number, since it is smaller than the sum of its proper divisors (93510720).

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

36218880 is a wasteful number, since it uses less digits than its factorization.

36218880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 167 (or 141 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 36.

The square root of 36218880 is about 6018.2123591645. The cubic root of 36218880 is about 330.8605638149.

The spelling of 36218880 in words is "thirty-six million, two hundred eighteen thousand, eight hundred eighty".