363038820 has 96 divisors (see below), whose sum is σ = 1080172800. Its totient is φ = 90929664.

The previous prime is 363038807. The next prime is 363038821. The reversal of 363038820 is 28830363.

It is not an unprimeable number, because it can be changed into a prime (363038821) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 61561 + ... + 67199.

It is an arithmetic number, because the mean of its divisors is an integer number (11251800).

Almost surely, 2^363038820 is an apocalyptic number.

363038820 is a gapful number since it is divisible by the number (30) 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 363038820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (540086400).

363038820 is an abundant number, since it is smaller than the sum of its proper divisors (717133980).

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

363038820 is a wasteful number, since it uses less digits than its factorization.

363038820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5717 (or 5715 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 33.

The square root of 363038820 is about 19053.5776168152. The cubic root of 363038820 is about 713.3746771002.

The spelling of 363038820 in words is "three hundred sixty-three million, thirty-eight thousand, eight hundred twenty".