368844840 has 448 divisors, whose sum is σ = 1542441600. Its totient is φ = 77262336.

The previous prime is 368844811. The next prime is 368844871. The reversal of 368844840 is 48448863.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 2653491 + ... + 2653629.

It is an arithmetic number, because the mean of its divisors is an integer number (3442950).

Almost surely, 2^368844840 is an apocalyptic number.

368844840 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 368844840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (771220800).

368844840 is an abundant number, since it is smaller than the sum of its proper divisors (1173596760).

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

368844840 is a wasteful number, since it uses less digits than its factorization.

368844840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 188 (or 169 counting only the distinct ones).

The product of its (nonzero) digits is 589824, while the sum is 45.

The square root of 368844840 is about 19205.3336341757. Note that the first 3 decimals coincide. The cubic root of 368844840 is about 717.1575431547.

The spelling of 368844840 in words is "three hundred sixty-eight million, eight hundred forty-four thousand, eight hundred forty".