363085632 has 224 divisors, whose sum is σ = 1314297600. Its totient is φ = 95717376.

The previous prime is 363085601. The next prime is 363085633. The reversal of 363085632 is 236580363.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (224).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (363085633) 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 31 ways as a sum of consecutive naturals, for example, 156094 + ... + 158402.

It is an arithmetic number, because the mean of its divisors is an integer number (5867400).

Almost surely, 2^363085632 is an apocalyptic number.

363085632 is a gapful number since it is divisible by the number (32) 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 363085632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (657148800).

363085632 is an abundant number, since it is smaller than the sum of its proper divisors (951211968).

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

363085632 is a wasteful number, since it uses less digits than its factorization.

363085632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2350 (or 2334 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 36.

The square root of 363085632 is about 19054.8060079341. The cubic root of 363085632 is about 713.4053377884.

The spelling of 363085632 in words is "three hundred sixty-three million, eighty-five thousand, six hundred thirty-two".