363850632 has 48 divisors (see below), whose sum is σ = 987355980. Its totient is φ = 121046400.

The previous prime is 363850579. The next prime is 363850633. The reversal of 363850632 is 236058363.

It is a happy number.

363850632 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 355171716 + 8678916 = 18846^2 + 2946^2 .

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

It is not an unprimeable number, because it can be changed into a prime (363850633) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 34282 + ... + 43622.

Almost surely, 2^363850632 is an apocalyptic number.

It is an amenable number.

363850632 is an abundant number, since it is smaller than the sum of its proper divisors (623505348).

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

363850632 is a wasteful number, since it uses less digits than its factorization.

363850632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9894 (or 9887 counting only the distinct ones).

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

The square root of 363850632 is about 19074.8691214383. The cubic root of 363850632 is about 713.9060206321.

The spelling of 363850632 in words is "three hundred sixty-three million, eight hundred fifty thousand, six hundred thirty-two".