388721760 has 192 divisors, whose sum is σ = 1473292800. Its totient is φ = 84160512.

The previous prime is 388721743. The next prime is 388721761. The reversal of 388721760 is 67127883.

It is a super-2 number, since 2×388721760² = 302209213394995200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (388721761) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 60796 + ... + 66884.

It is an arithmetic number, because the mean of its divisors is an integer number (7673400).

Almost surely, 2^388721760 is an apocalyptic number.

388721760 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 388721760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (736646400).

388721760 is an abundant number, since it is smaller than the sum of its proper divisors (1084571040).

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

388721760 is a wasteful number, since it uses less digits than its factorization.

388721760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6133 (or 6125 counting only the distinct ones).

The product of its (nonzero) digits is 112896, while the sum is 42.

The square root of 388721760 is about 19716.0279975456. The cubic root of 388721760 is about 729.8152782128.

The spelling of 388721760 in words is "three hundred eighty-eight million, seven hundred twenty-one thousand, seven hundred sixty".