387367344 has 360 divisors, whose sum is σ = 1404722592. Its totient is φ = 98703360.

The previous prime is 387367339. The next prime is 387367417. The reversal of 387367344 is 443763783.

It is a super-2 number, since 2×387367344² = 300106918395228672, which contains 22 as substring.

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

It is a zygodrome in base 3.

It is a self number, because there is not a number n which added to its sum of digits gives 387367344.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 3760797 + ... + 3760899.

Almost surely, 2^387367344 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 387367344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (702361296).

387367344 is an abundant number, since it is smaller than the sum of its proper divisors (1017355248).

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

387367344 is a wasteful number, since it uses less digits than its factorization.

387367344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 185 (or 169 counting only the distinct ones).

The product of its digits is 1016064, while the sum is 45.

The square root of 387367344 is about 19681.6499308366. The cubic root of 387367344 is about 728.9666645778.

It can be divided in two parts, 3873 and 67344, that added together give a palindrome (71217).

The spelling of 387367344 in words is "three hundred eighty-seven million, three hundred sixty-seven thousand, three hundred forty-four".