36312360 has 128 divisors (see below), whose sum is σ = 125798400. Its totient is φ = 8213760.

The previous prime is 36312359. The next prime is 36312383. The reversal of 36312360 is 6321363.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 36312360.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 116605 + ... + 116915.

It is an arithmetic number, because the mean of its divisors is an integer number (982800).

Almost surely, 2^36312360 is an apocalyptic number.

36312360 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 36312360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62899200).

36312360 is an abundant number, since it is smaller than the sum of its proper divisors (89486040).

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

36312360 is a wasteful number, since it uses less digits than its factorization.

36312360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 471 (or 467 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 24.

The square root of 36312360 is about 6025.9737802284. The cubic root of 36312360 is about 331.1449668181.

The spelling of 36312360 in words is "thirty-six million, three hundred twelve thousand, three hundred sixty".