387389952 has 100 divisors (see below), whose sum is σ = 1156380786. Its totient is φ = 129116160.

The previous prime is 387389941. The next prime is 387389953. The reversal of 387389952 is 259983783.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 355850496 + 31539456 = 18864^2 + 5616^2 .

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a nialpdrome in base 9.

It is not an unprimeable number, because it can be changed into a prime (387389953) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 36802 + ... + 46142.

Almost surely, 2^387389952 is an apocalyptic number.

387389952 is a gapful number since it is divisible by the number (32) 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 387389952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (578190393).

387389952 is an abundant number, since it is smaller than the sum of its proper divisors (768990834).

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

387389952 is an frugal number, since it uses more digits than its factorization.

387389952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9371 (or 9346 counting only the distinct ones).

The product of its digits is 3265920, while the sum is 54.

The square root of 387389952 is about 19682.2242645490. The cubic root of 387389952 is about 728.9808459124.

The spelling of 387389952 in words is "three hundred eighty-seven million, three hundred eighty-nine thousand, nine hundred fifty-two".