36261280 has 72 divisors (see below), whose sum is σ = 94213476. Its totient is φ = 13178880.

The previous prime is 36261263. The next prime is 36261287. The reversal of 36261280 is 8216263.

It can be written as a sum of positive squares in 2 ways, for example, as 31225744 + 5035536 = 5588^2 + 2244^2 .

It is a hoax number, since the sum of its digits (28) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (36261287) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 18424 + ... + 20296.

Almost surely, 2^36261280 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 36261280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47106738).

36261280 is an abundant number, since it is smaller than the sum of its proper divisors (57952196).

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

36261280 is a wasteful number, since it uses less digits than its factorization.

36261280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1910 (or 1891 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 28.

The square root of 36261280 is about 6021.7339695473. The cubic root of 36261280 is about 330.9896218942.

The spelling of 36261280 in words is "thirty-six million, two hundred sixty-one thousand, two hundred eighty".