387661344 has 192 divisors, whose sum is σ = 1212422400. Its totient is φ = 108380160.

The previous prime is 387661333. The next prime is 387661367. The reversal of 387661344 is 443166783.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (42).

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

Its product of digits (290304) is a multiple of the sum of its prime factors (288).

It is a junction number, because it is equal to n+sod(n) for n = 387661296 and 387661305.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2008512 + ... + 2008704.

It is an arithmetic number, because the mean of its divisors is an integer number (6314700).

Almost surely, 2^387661344 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 387661344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (606211200).

387661344 is an abundant number, since it is smaller than the sum of its proper divisors (824761056).

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

387661344 is a wasteful number, since it uses less digits than its factorization.

387661344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 288 (or 266 counting only the distinct ones).

The product of its digits is 290304, while the sum is 42.

The square root of 387661344 is about 19689.1174002290. The cubic root of 387661344 is about 729.1510390962.

The spelling of 387661344 in words is "three hundred eighty-seven million, six hundred sixty-one thousand, three hundred forty-four".