363252384 has 192 divisors, whose sum is σ = 1188190080. Its totient is φ = 106997760.

The previous prime is 363252367. The next prime is 363252443. The reversal of 363252384 is 483252363.

It is a happy number.

363252384 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 351132 + ... + 352164.

It is an arithmetic number, because the mean of its divisors is an integer number (6188490).

Almost surely, 2^363252384 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 363252384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (594095040).

363252384 is an abundant number, since it is smaller than the sum of its proper divisors (824937696).

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

363252384 is a wasteful number, since it uses less digits than its factorization.

363252384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1100 (or 1086 counting only the distinct ones).

The product of its digits is 103680, while the sum is 36.

The square root of 363252384 is about 19059.1810946850. The cubic root of 363252384 is about 713.5145347651.

The spelling of 363252384 in words is "three hundred sixty-three million, two hundred fifty-two thousand, three hundred eighty-four".