363946128 has 120 divisors (see below), whose sum is σ = 1177924608. Its totient is φ = 95977728.

The previous prime is 363946123. The next prime is 363946147. The reversal of 363946128 is 821649363.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a self number, because there is not a number n which added to its sum of digits gives 363946128.

It is not an unprimeable number, because it can be changed into a prime (363946123) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 24625 + ... + 36527.

Almost surely, 2^363946128 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 363946128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (588962304).

363946128 is an abundant number, since it is smaller than the sum of its proper divisors (813978480).

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

363946128 is a wasteful number, since it uses less digits than its factorization.

363946128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11941 (or 11928 counting only the distinct ones).

The product of its digits is 186624, while the sum is 42.

The square root of 363946128 is about 19077.3721460792. The cubic root of 363946128 is about 713.9684722718.

The spelling of 363946128 in words is "three hundred sixty-three million, nine hundred forty-six thousand, one hundred twenty-eight".