363381120 has 256 divisors, whose sum is σ = 1363780800. Its totient is φ = 91127808.

The previous prime is 363381019. The next prime is 363381121. The reversal of 363381120 is 21183363.

It is a happy number.

363381120 is a `hidden beast` number, since 3 + 633 + 8 + 1 + 1 + 20 = 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 (363381121) 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, 293142 + ... + 294378.

Almost surely, 2^363381120 is an apocalyptic number.

363381120 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 363381120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (681890400).

363381120 is an abundant number, since it is smaller than the sum of its proper divisors (1000399680).

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

363381120 is a wasteful number, since it uses less digits than its factorization.

363381120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1282 (or 1264 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The square root of 363381120 is about 19062.5580654853. The cubic root of 363381120 is about 713.5988142379.

The spelling of 363381120 in words is "three hundred sixty-three million, three hundred eighty-one thousand, one hundred twenty".