389629848672 has 96 divisors (see below), whose sum is σ = 1137093552000. Its totient is φ = 129799684224.

The previous prime is 389629848589. The next prime is 389629848677. The reversal of 389629848672 is 276848926983.

389629848672 is a `hidden beast` number, since 3 + 89 + 62 + 9 + 8 + 486 + 7 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×389629848672² (a number of 24 digits) contains 22 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 389629848672.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (389629848677) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1335223 + ... + 1600649.

It is an arithmetic number, because the mean of its divisors is an integer number (11844724500).

Almost surely, 2^389629848672 is an apocalyptic number.

389629848672 is a gapful number since it is divisible by the number (32) 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 389629848672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (568546776000).

389629848672 is an abundant number, since it is smaller than the sum of its proper divisors (747463703328).

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

389629848672 is a wasteful number, since it uses less digits than its factorization.

389629848672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 267145 (or 267131 counting only the distinct ones).

The product of its digits is 501645312, while the sum is 72.

The spelling of 389629848672 in words is "three hundred eighty-nine billion, six hundred twenty-nine million, eight hundred forty-eight thousand, six hundred seventy-two".