368506032 has 80 divisors (see below), whose sum is σ = 993873888. Its totient is φ = 117544960.

The previous prime is 368506027. The next prime is 368506037. The reversal of 368506032 is 230605863.

It is an interprime number because it is at equal distance from previous prime (368506027) and next prime (368506037).

It is a junction number, because it is equal to n+sod(n) for n = 368505984 and 368506002.

It is not an unprimeable number, because it can be changed into a prime (368506037) 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 15 ways as a sum of consecutive naturals, for example, 102538 + ... + 106070.

Almost surely, 2^368506032 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 368506032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (496936944).

368506032 is an abundant number, since it is smaller than the sum of its proper divisors (625367856).

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

368506032 is a wasteful number, since it uses less digits than its factorization.

368506032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3638 (or 3632 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 33.

The square root of 368506032 is about 19196.5109329795. The cubic root of 368506032 is about 716.9378905874.

The spelling of 368506032 in words is "three hundred sixty-eight million, five hundred six thousand, thirty-two".