389633760 has 384 divisors, whose sum is σ = 1480550400. Its totient is φ = 95385600.

The previous prime is 389633753. The next prime is 389633801. The reversal of 389633760 is 67336983.

It is a happy number.

389633760 is a `hidden beast` number, since 3 + 8 + 9 + 633 + 7 + 6 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3857710 + ... + 3857810.

It is an arithmetic number, because the mean of its divisors is an integer number (3855600).

Almost surely, 2^389633760 is an apocalyptic number.

389633760 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 389633760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (740275200).

389633760 is an abundant number, since it is smaller than the sum of its proper divisors (1090916640).

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

389633760 is a wasteful number, since it uses less digits than its factorization.

389633760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 191 (or 177 counting only the distinct ones).

The product of its (nonzero) digits is 489888, while the sum is 45.

The square root of 389633760 is about 19739.1428385328. The cubic root of 389633760 is about 730.3855847521.

The spelling of 389633760 in words is "three hundred eighty-nine million, six hundred thirty-three thousand, seven hundred sixty".