363442368 has 112 divisors (see below), whose sum is σ = 995196384. Its totient is φ = 116981760.

The previous prime is 363442363. The next prime is 363442369. The reversal of 363442368 is 863244363.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (363442363) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1078296 + ... + 1078632.

It is an arithmetic number, because the mean of its divisors is an integer number (8885682).

Almost surely, 2^363442368 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 363442368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (497598192).

363442368 is an abundant number, since it is smaller than the sum of its proper divisors (631754016).

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

363442368 is a wasteful number, since it uses less digits than its factorization.

363442368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 530 (or 520 counting only the distinct ones).

The product of its digits is 248832, while the sum is 39.

The square root of 363442368 is about 19064.1644978216. The cubic root of 363442368 is about 713.6389044191.

It can be divided in two parts, 363 and 442368, that multiplied together give a square (160579584 = 12672²).

The spelling of 363442368 in words is "three hundred sixty-three million, four hundred forty-two thousand, three hundred sixty-eight".