387846144 has 260 divisors, whose sum is σ = 1332053184. Its totient is φ = 110149632.

The previous prime is 387846133. The next prime is 387846149. The reversal of 387846144 is 441648783.

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 387846144.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (387846149) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 2322349 + ... + 2322515.

Almost surely, 2^387846144 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 387846144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (666026592).

387846144 is an abundant number, since it is smaller than the sum of its proper divisors (944207040).

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

387846144 is an equidigital number, since it uses as much as digits as its factorization.

387846144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 210 (or 179 counting only the distinct ones).

The product of its digits is 516096, while the sum is 45.

The square root of 387846144 is about 19693.8097888651. The cubic root of 387846144 is about 729.2668839422.

The spelling of 387846144 in words is "three hundred eighty-seven million, eight hundred forty-six thousand, one hundred forty-four".