387314144 has 48 divisors (see below), whose sum is σ = 872782848. Its totient is φ = 165739392.

The previous prime is 387314143. The next prime is 387314153. The reversal of 387314144 is 441413783.

It is a super-2 number, since 2×387314144² = 300024492284905472, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (387314141) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 291209 + ... + 292535.

It is an arithmetic number, because the mean of its divisors is an integer number (18182976).

Almost surely, 2^387314144 is an apocalyptic number.

It is an amenable number.

387314144 is an abundant number, since it is smaller than the sum of its proper divisors (485468704).

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

387314144 is a wasteful number, since it uses less digits than its factorization.

387314144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2647 (or 2639 counting only the distinct ones).

The product of its digits is 32256, while the sum is 35.

The square root of 387314144 is about 19680.2983717219. The cubic root of 387314144 is about 728.9332916028.

It can be divided in two parts, 38731 and 4144, that added together give a cube (42875 = 35³).

The spelling of 387314144 in words is "three hundred eighty-seven million, three hundred fourteen thousand, one hundred forty-four".