36286080 has 64 divisors (see below), whose sum is σ = 115668000. Its totient is φ = 9675776.

The previous prime is 36286073. The next prime is 36286091. The reversal of 36286080 is 8068263.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-3 number, since 3×36286080³ (a number of 24 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7530 + ... + 11369.

Almost surely, 2^36286080 is an apocalyptic number.

36286080 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

36286080 is an abundant number, since it is smaller than the sum of its proper divisors (79381920).

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

36286080 is a wasteful number, since it uses less digits than its factorization.

36286080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18921 (or 18909 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 33.

The square root of 36286080 is about 6023.7928251227. The cubic root of 36286080 is about 331.0650620698.

The spelling of 36286080 in words is "thirty-six million, two hundred eighty-six thousand, eighty".