363021120 has 336 divisors, whose sum is σ = 1557698688. Its totient is φ = 75386880.

The previous prime is 363021119. The next prime is 363021137. The reversal of 363021120 is 21120363.

363021120 is a `hidden beast` number, since 3 + 630 + 2 + 11 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (336).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 363021093 and 363021102.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 220942 + ... + 222578.

It is an arithmetic number, because the mean of its divisors is an integer number (4636008).

Almost surely, 2^363021120 is an apocalyptic number.

363021120 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 363021120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (778849344).

363021120 is an abundant number, since it is smaller than the sum of its proper divisors (1194677568).

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

363021120 is a wasteful number, since it uses less digits than its factorization.

363021120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1678 (or 1665 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

The square root of 363021120 is about 19053.1131314544. The cubic root of 363021120 is about 713.3630833566.

Adding to 363021120 its reverse (21120363), we get a palindrome (384141483).

The spelling of 363021120 in words is "three hundred sixty-three million, twenty-one thousand, one hundred twenty".