388602144 has 288 divisors, whose sum is σ = 1347917760. Its totient is φ = 108573696.

The previous prime is 388602127. The next prime is 388602163. The reversal of 388602144 is 441206883.

388602144 is a `hidden beast` number, since 3 + 8 + 8 + 602 + 1 + 44 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 388602099 and 388602108.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2836444 + ... + 2836580.

It is an arithmetic number, because the mean of its divisors is an integer number (4680270).

Almost surely, 2^388602144 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 388602144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (673958880).

388602144 is an abundant number, since it is smaller than the sum of its proper divisors (959315616).

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

388602144 is a wasteful number, since it uses less digits than its factorization.

388602144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 237 (or 216 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The square root of 388602144 is about 19712.9942931052. The cubic root of 388602144 is about 729.7404118610.

The spelling of 388602144 in words is "three hundred eighty-eight million, six hundred two thousand, one hundred forty-four".