36228360 has 256 divisors, whose sum is σ = 136857600. Its totient is φ = 7483392.

The previous prime is 36228341. The next prime is 36228391. The reversal of 36228360 is 6382263.

It is a Cunningham number, because it is equal to 6019²-1.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 614011 + ... + 614069.

It is an arithmetic number, because the mean of its divisors is an integer number (534600).

Almost surely, 2^36228360 is an apocalyptic number.

36228360 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 36228360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68428800).

36228360 is an abundant number, since it is smaller than the sum of its proper divisors (100629240).

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

36228360 is a wasteful number, since it uses less digits than its factorization.

36228360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 140 (or 136 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 30.

The square root of 36228360 is about 6018.9999169297. Note that the first 4 decimals coincide. The cubic root of 36228360 is about 330.8894279922.

The spelling of 36228360 in words is "thirty-six million, two hundred twenty-eight thousand, three hundred sixty".