363506328 has 96 divisors (see below), whose sum is σ = 1061751600. Its totient is φ = 111974400.

The previous prime is 363506317. The next prime is 363506357. The reversal of 363506328 is 823605363.

It is a happy number.

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

It is a zygodrome in base 3.

It is a junction number, because it is equal to n+sod(n) for n = 363506292 and 363506301.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 52848 + ... + 59328.

Almost surely, 2^363506328 is an apocalyptic number.

363506328 is a gapful number since it is divisible by the number (38) 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 363506328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (530875800).

363506328 is an abundant number, since it is smaller than the sum of its proper divisors (698245272).

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

363506328 is a wasteful number, since it uses less digits than its factorization.

363506328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6553 (or 6546 counting only the distinct ones).

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

The square root of 363506328 is about 19065.8419168942. The cubic root of 363506328 is about 713.6807649459.

The spelling of 363506328 in words is "three hundred sixty-three million, five hundred six thousand, three hundred twenty-eight".