363338040 has 128 divisors (see below), whose sum is σ = 1179440640. Its totient is φ = 89012736.

The previous prime is 363338033. The next prime is 363338051. The reversal of 363338040 is 40833363.

363338040 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×363338040² = 264029062622083200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 363337989 and 363338007.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 441069 + ... + 441891.

It is an arithmetic number, because the mean of its divisors is an integer number (9214380).

Almost surely, 2^363338040 is an apocalyptic number.

363338040 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 363338040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (589720320).

363338040 is an abundant number, since it is smaller than the sum of its proper divisors (816102600).

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

363338040 is a wasteful number, since it uses less digits than its factorization.

363338040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1133 (or 1129 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 30.

The square root of 363338040 is about 19061.4280682220. The cubic root of 363338040 is about 713.5706133122.

The spelling of 363338040 in words is "three hundred sixty-three million, three hundred thirty-eight thousand, forty".