389546302279680 has 3744 divisors, whose sum is σ = 1753003302994944. Its totient is φ = 79257283854336.

The previous prime is 389546302279661. The next prime is 389546302279703. The reversal of 389546302279680 is 86972203645983.

It is a happy number.

389546302279680 is a `hidden beast` number, since 3 + 8 + 9 + 5 + 46 + 302 + 279 + 6 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (3744).

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

It is a junction number, because it is equal to n+sod(n) for n = 389546302279599 and 389546302279608.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 402840022557 + ... + 402840023523.

It is an arithmetic number, because the mean of its divisors is an integer number (468216694176).

Almost surely, 2^{389546302279680} is an apocalyptic number.

389546302279680 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 389546302279680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (876501651497472).

389546302279680 is an abundant number, since it is smaller than the sum of its proper divisors (1363457000715264).

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

389546302279680 is a wasteful number, since it uses less digits than its factorization.

389546302279680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1149 (or 1117 counting only the distinct ones).

The product of its (nonzero) digits is 940584960, while the sum is 72.

The spelling of 389546302279680 in words is "three hundred eighty-nine trillion, five hundred forty-six billion, three hundred two million, two hundred seventy-nine thousand, six hundred eighty".