388596096 has 128 divisors (see below), whose sum is σ = 1310822400. Its totient is φ = 111020544.

The previous prime is 388596077. The next prime is 388596097. The reversal of 388596096 is 690695883.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-3 number, since 3×388596096³ (a number of 27 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (388596097) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 16161 + ... + 32223.

It is an arithmetic number, because the mean of its divisors is an integer number (10240800).

Almost surely, 2^388596096 is an apocalyptic number.

388596096 is a gapful number since it is divisible by the number (36) 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 388596096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (655411200).

388596096 is an abundant number, since it is smaller than the sum of its proper divisors (922226304).

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

388596096 is a wasteful number, since it uses less digits than its factorization.

388596096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16093 (or 16075 counting only the distinct ones).

The product of its (nonzero) digits is 2799360, while the sum is 54.

The square root of 388596096 is about 19712.8408911552. The cubic root of 388596096 is about 729.7366260756.

The spelling of 388596096 in words is "three hundred eighty-eight million, five hundred ninety-six thousand, ninety-six".