389123098976304 has 960 divisors, whose sum is σ = 1483169821056000. Its totient is φ = 94872639467520.

The previous prime is 389123098976281. The next prime is 389123098976321. The reversal of 389123098976304 is 403679890321983.

389123098976304 is a `hidden beast` number, since 3 + 8 + 9 + 1 + 2 + 309 + 8 + 9 + 7 + 6 + 304 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1308756492 + ... + 1309053780.

It is an arithmetic number, because the mean of its divisors is an integer number (1544968563600).

Almost surely, 2^{389123098976304} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 389123098976304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (741584910528000).

389123098976304 is an abundant number, since it is smaller than the sum of its proper divisors (1094046722079696).

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

389123098976304 is a wasteful number, since it uses less digits than its factorization.

389123098976304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 297471 (or 297440 counting only the distinct ones).

The product of its (nonzero) digits is 423263232, while the sum is 72.

The spelling of 389123098976304 in words is "three hundred eighty-nine trillion, one hundred twenty-three billion, ninety-eight million, nine hundred seventy-six thousand, three hundred four".