387804672 has 140 divisors (see below), whose sum is σ = 1162864560. Its totient is φ = 129143808.

The previous prime is 387804653. The next prime is 387804719. The reversal of 387804672 is 276408783.

It is a happy number.

It is a congruent number.

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 13 ways as a sum of consecutive naturals, for example, 372729 + ... + 373767.

Almost surely, 2^387804672 is an apocalyptic number.

387804672 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 387804672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (581432280).

387804672 is an abundant number, since it is smaller than the sum of its proper divisors (775059888).

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

387804672 is an frugal number, since it uses more digits than its factorization.

387804672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1075 (or 1044 counting only the distinct ones).

The product of its (nonzero) digits is 451584, while the sum is 45.

The square root of 387804672 is about 19692.7568410317. The cubic root of 387804672 is about 729.2408897564.

The spelling of 387804672 in words is "three hundred eighty-seven million, eight hundred four thousand, six hundred seventy-two".