360366336 has 216 divisors, whose sum is σ = 1157476320. Its totient is φ = 106905600.

The previous prime is 360366299. The next prime is 360366341. The reversal of 360366336 is 633663063.

It is a super-2 number, since 2×360366336² = 259727792244129792, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 360366336.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1495176 + ... + 1495416.

Almost surely, 2^360366336 is an apocalyptic number.

360366336 is a gapful number since it is divisible by the number (36) 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 360366336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (578738160).

360366336 is an abundant number, since it is smaller than the sum of its proper divisors (797109984).

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

360366336 is a wasteful number, since it uses less digits than its factorization.

360366336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 333 (or 316 counting only the distinct ones).

The product of its (nonzero) digits is 104976, while the sum is 36.

The square root of 360366336 is about 18983.3173075730. The cubic root of 360366336 is about 711.6198787372.

The spelling of 360366336 in words is "three hundred sixty million, three hundred sixty-six thousand, three hundred thirty-six".