389434716000 has 1728 divisors, whose sum is σ = 1671275773440. Its totient is φ = 88179840000.

The previous prime is 389434715959. The next prime is 389434716061. The reversal of 389434716000 is 617434983.

389434716000 is a `hidden beast` number, since 3 + 8 + 9 + 4 + 34 + 7 + 1 + 600 + 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 pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 5484995965 + ... + 5484996035.

It is an arithmetic number, because the mean of its divisors is an integer number (967173480).

Almost surely, 2^389434716000 is an apocalyptic number.

389434716000 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 389434716000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (835637886720).

389434716000 is an abundant number, since it is smaller than the sum of its proper divisors (1281841057440).

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

389434716000 is an equidigital number, since it uses as much as digits as its factorization.

389434716000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 150 (or 111 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 45.

The spelling of 389434716000 in words is "three hundred eighty-nine billion, four hundred thirty-four million, seven hundred sixteen thousand".