363366340 has 48 divisors (see below), whose sum is σ = 784099008. Its totient is φ = 141369984.

The previous prime is 363366337. The next prime is 363366343. The reversal of 363366340 is 43663363.

It is an interprime number because it is at equal distance from previous prime (363366337) and next prime (363366343).

It is a junction number, because it is equal to n+sod(n) for n = 363366296 and 363366305.

It is not an unprimeable number, because it can be changed into a prime (363366343) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 242634 + ... + 244126.

It is an arithmetic number, because the mean of its divisors is an integer number (16335396).

Almost surely, 2^363366340 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 363366340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (392049504).

363366340 is an abundant number, since it is smaller than the sum of its proper divisors (420732668).

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

363366340 is a wasteful number, since it uses less digits than its factorization.

363366340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1828 (or 1826 counting only the distinct ones).

The product of its (nonzero) digits is 69984, while the sum is 34.

The square root of 363366340 is about 19062.1703905930. The cubic root of 363366340 is about 713.5891392411.

The spelling of 363366340 in words is "three hundred sixty-three million, three hundred sixty-six thousand, three hundred forty".