388367144 has 64 divisors (see below), whose sum is σ = 872640000. Its totient is φ = 159952320.

The previous prime is 388367141. The next prime is 388367153. The reversal of 388367144 is 441763883.

It is a Harshad number since it is a multiple of its sum of digits (44).

It is a junction number, because it is equal to n+sod(n) for n = 388367095 and 388367104.

It is not an unprimeable number, because it can be changed into a prime (388367141) 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, 33407 + ... + 43505.

It is an arithmetic number, because the mean of its divisors is an integer number (13635000).

Almost surely, 2^388367144 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 388367144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (436320000).

388367144 is an abundant number, since it is smaller than the sum of its proper divisors (484272856).

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

388367144 is a wasteful number, since it uses less digits than its factorization.

388367144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10158 (or 10154 counting only the distinct ones).

The product of its digits is 387072, while the sum is 44.

The square root of 388367144 is about 19707.0328563181. The cubic root of 388367144 is about 729.5932831679.

The spelling of 388367144 in words is "three hundred eighty-eight million, three hundred sixty-seven thousand, one hundred forty-four".