36225280 has 144 divisors (see below), whose sum is σ = 107138304. Its totient is φ = 11427840.

The previous prime is 36225269. The next prime is 36225313. The reversal of 36225280 is 8252263.

It is a super-2 number, since 2×36225280² = 2624541822156800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a zygodrome in base 6.

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, 116325 + ... + 116635.

It is an arithmetic number, because the mean of its divisors is an integer number (744016).

Almost surely, 2^36225280 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 36225280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53569152).

36225280 is an abundant number, since it is smaller than the sum of its proper divisors (70913024).

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

36225280 is a wasteful number, since it uses less digits than its factorization.

36225280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 352 (or 338 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 28.

The square root of 36225280 is about 6018.7440550334. The cubic root of 36225280 is about 330.8800507316.

The spelling of 36225280 in words is "thirty-six million, two hundred twenty-five thousand, two hundred eighty".