388596960 has 192 divisors, whose sum is σ = 1419586560. Its totient is φ = 99095040.

The previous prime is 388596947. The next prime is 388596973. The reversal of 388596960 is 69695883.

It is an interprime number because it is at equal distance from previous prime (388596947) and next prime (388596973).

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

It is a junction number, because it is equal to n+sod(n) for n = 388596897 and 388596906.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 97405 + ... + 101315.

It is an arithmetic number, because the mean of its divisors is an integer number (7393680).

Almost surely, 2^388596960 is an apocalyptic number.

388596960 is a gapful number since it is divisible by the number (30) 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 388596960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (709793280).

388596960 is an abundant number, since it is smaller than the sum of its proper divisors (1030989600).

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

388596960 is a wasteful number, since it uses less digits than its factorization.

388596960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3958 (or 3944 counting only the distinct ones).

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

The square root of 388596960 is about 19712.8628057926. The cubic root of 388596960 is about 729.7371669045.

The spelling of 388596960 in words is "three hundred eighty-eight million, five hundred ninety-six thousand, nine hundred sixty".