387666432 has 160 divisors (see below), whose sum is σ = 1188316800. Its totient is φ = 124637184.

The previous prime is 387666431. The next prime is 387666437. The reversal of 387666432 is 234666783.

It is a super-2 number, since 2×387666432² = 300570524999221248, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (387666431) 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 15 ways as a sum of consecutive naturals, for example, 400413 + ... + 401379.

It is an arithmetic number, because the mean of its divisors is an integer number (7426980).

Almost surely, 2^387666432 is an apocalyptic number.

387666432 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 387666432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (594158400).

387666432 is an abundant number, since it is smaller than the sum of its proper divisors (800650368).

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

387666432 is an equidigital number, since it uses as much as digits as its factorization.

387666432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1023 (or 1001 counting only the distinct ones).

The product of its digits is 870912, while the sum is 45.

The square root of 387666432 is about 19689.2466082377. The cubic root of 387666432 is about 729.1542290835.

The spelling of 387666432 in words is "three hundred eighty-seven million, six hundred sixty-six thousand, four hundred thirty-two".