361865088 has 192 divisors, whose sum is σ = 1140200880. Its totient is φ = 109486080.

The previous prime is 361865083. The next prime is 361865093. The reversal of 361865088 is 880568163.

361865088 is a `hidden beast` number, since 3 + 61 + 86 + 508 + 8 = 666.

It is an interprime number because it is at equal distance from previous prime (361865083) and next prime (361865093).

It is a tau number, because it is divible by the number of its divisors (192).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (361865083) 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 23 ways as a sum of consecutive naturals, for example, 1093083 + ... + 1093413.

Almost surely, 2^361865088 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 361865088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (570100440).

361865088 is an abundant number, since it is smaller than the sum of its proper divisors (778335792).

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

361865088 is a wasteful number, since it uses less digits than its factorization.

361865088 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 437 (or 422 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 45.

The square root of 361865088 is about 19022.7518514015. The cubic root of 361865088 is about 712.6050489617.

The spelling of 361865088 in words is "three hundred sixty-one million, eight hundred sixty-five thousand, eighty-eight".