361086336 has 384 divisors, whose sum is σ = 1247500800. Its totient is φ = 103016448.

The previous prime is 361086331. The next prime is 361086347. The reversal of 361086336 is 633680163.

361086336 is a `hidden beast` number, since 3 + 6 + 10 + 8 + 633 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

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 361086336.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (361086331) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7682665 + ... + 7682711.

It is an arithmetic number, because the mean of its divisors is an integer number (3248700).

Almost surely, 2^361086336 is an apocalyptic number.

361086336 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 361086336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (623750400).

361086336 is an abundant number, since it is smaller than the sum of its proper divisors (886414464).

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

361086336 is a wasteful number, since it uses less digits than its factorization.

361086336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 108 (or 84 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 36.

The square root of 361086336 is about 19002.2718641746. The cubic root of 361086336 is about 712.0934944346.

The spelling of 361086336 in words is "three hundred sixty-one million, eighty-six thousand, three hundred thirty-six".