363121380 has 60 divisors (see below), whose sum is σ = 1139130300. Its totient is φ = 96831936.

The previous prime is 363121373. The next prime is 363121393. The reversal of 363121380 is 83121363.

It is a happy number.

363121380 is a `hidden beast` number, since 3 + 631 + 21 + 3 + 8 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 252619236 + 110502144 = 15894^2 + 10512^2 .

It is a tau number, because it is divible by the number of its divisors (60).

It is a super-2 number, since 2×363121380² = 263714273226208800, which contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 110455 + ... + 113694.

It is an arithmetic number, because the mean of its divisors is an integer number (18985505).

Almost surely, 2^363121380 is an apocalyptic number.

363121380 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

363121380 is an abundant number, since it is smaller than the sum of its proper divisors (776008920).

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

363121380 is a wasteful number, since it uses less digits than its factorization.

363121380 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 224170 (or 224159 counting only the distinct ones).

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

The square root of 363121380 is about 19055.7440159129. The cubic root of 363121380 is about 713.4287500589.

The spelling of 363121380 in words is "three hundred sixty-three million, one hundred twenty-one thousand, three hundred eighty".