388791360 has 224 divisors, whose sum is σ = 1452798720. Its totient is φ = 97542144.

The previous prime is 388791353. The next prime is 388791373. The reversal of 388791360 is 63197883.

It is a happy number.

It is a super-2 number, since 2×388791360² = 302317443221299200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 145557 + ... + 148203.

Almost surely, 2^388791360 is an apocalyptic number.

388791360 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 388791360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (726399360).

388791360 is an abundant number, since it is smaller than the sum of its proper divisors (1064007360).

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

388791360 is a wasteful number, since it uses less digits than its factorization.

388791360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2690 (or 2674 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 45.

The square root of 388791360 is about 19717.7929799458. The cubic root of 388791360 is about 729.8588330270.

The spelling of 388791360 in words is "three hundred eighty-eight million, seven hundred ninety-one thousand, three hundred sixty".