36095280 has 160 divisors (see below), whose sum is σ = 125991936. Its totient is φ = 8481792.

The previous prime is 36095261. The next prime is 36095281. The reversal of 36095280 is 8259063.

It is a happy number.

It is a Smith number, since the sum of its digits (33) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (36095281) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 71509 + ... + 72011.

Almost surely, 2^36095280 is an apocalyptic number.

36095280 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 36095280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62995968).

36095280 is an abundant number, since it is smaller than the sum of its proper divisors (89896656).

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

36095280 is a wasteful number, since it uses less digits than its factorization.

36095280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 555 (or 549 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 33.

The square root of 36095280 is about 6007.9347533075. The cubic root of 36095280 is about 330.4837716319.

The spelling of 36095280 in words is "thirty-six million, ninety-five thousand, two hundred eighty".