361384020 has 72 divisors (see below), whose sum is σ = 1097800704. Its totient is φ = 96228288.

The previous prime is 361383991. The next prime is 361384021. The reversal of 361384020 is 20483163.

It is a happy number.

361384020 is a `hidden beast` number, since 3 + 613 + 8 + 40 + 2 + 0 = 666.

It is a super-2 number, since 2×361384020² = 261196819822720800, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (361384021) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 194737 + ... + 196583.

It is an arithmetic number, because the mean of its divisors is an integer number (15247232).

Almost surely, 2^361384020 is an apocalyptic number.

361384020 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

361384020 is an abundant number, since it is smaller than the sum of its proper divisors (736416684).

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

361384020 is a wasteful number, since it uses less digits than its factorization.

361384020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2949 (or 2944 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 361384020 is about 19010.1031033501. The cubic root of 361384020 is about 712.2891268847.

The spelling of 361384020 in words is "three hundred sixty-one million, three hundred eighty-four thousand, twenty".