363846420 has 72 divisors (see below), whose sum is σ = 1261338624. Its totient is φ = 83164608.

The previous prime is 363846389. The next prime is 363846433. The reversal of 363846420 is 24648363.

It is a happy number.

363846420 is a `hidden beast` number, since 3 + 6 + 3 + 8 + 4 + 642 + 0 = 666.

363846420 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 a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 143124 + ... + 145643.

It is an arithmetic number, because the mean of its divisors is an integer number (17518592).

Almost surely, 2^363846420 is an apocalyptic number.

363846420 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

363846420 is an abundant number, since it is smaller than the sum of its proper divisors (897492204).

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

363846420 is a wasteful number, since it uses less digits than its factorization.

363846420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 288789 (or 288784 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 36.

The square root of 363846420 is about 19074.7587140703. The cubic root of 363846420 is about 713.9032658535.

The spelling of 363846420 in words is "three hundred sixty-three million, eight hundred forty-six thousand, four hundred twenty".