363321342 has 64 divisors (see below), whose sum is σ = 824670720. Its totient is φ = 118540800.

The previous prime is 363321313. The next prime is 363321349. The reversal of 363321342 is 243123363.

It is a happy number.

363321342 is a `hidden beast` number, since 3 + 633 + 21 + 3 + 4 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (363321349) 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, 739717 + ... + 740207.

It is an arithmetic number, because the mean of its divisors is an integer number (12885480).

Almost surely, 2^363321342 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 363321342, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (412335360).

363321342 is an abundant number, since it is smaller than the sum of its proper divisors (461349378).

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

363321342 is a wasteful number, since it uses less digits than its factorization.

363321342 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 766 (or 760 counting only the distinct ones).

The product of its digits is 7776, while the sum is 27.

The square root of 363321342 is about 19060.9900582315. The cubic root of 363321342 is about 713.5596819083.

The spelling of 363321342 in words is "three hundred sixty-three million, three hundred twenty-one thousand, three hundred forty-two".