363844840 has 64 divisors (see below), whose sum is σ = 838195200. Its totient is φ = 142103808.

The previous prime is 363844823. The next prime is 363844847. The reversal of 363844840 is 48448363.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a junction number, because it is equal to n+sod(n) for n = 363844793 and 363844802.

It is not an unprimeable number, because it can be changed into a prime (363844847) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 339826 + ... + 340894.

It is an arithmetic number, because the mean of its divisors is an integer number (13096800).

Almost surely, 2^363844840 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 363844840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (419097600).

363844840 is an abundant number, since it is smaller than the sum of its proper divisors (474350360).

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

363844840 is a wasteful number, since it uses less digits than its factorization.

363844840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1274 (or 1270 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 40.

The square root of 363844840 is about 19074.7172980362. The cubic root of 363844840 is about 713.9022324790.

The spelling of 363844840 in words is "three hundred sixty-three million, eight hundred forty-four thousand, eight hundred forty".