389425736448 has 864 divisors, whose sum is σ = 1436248486400. Its totient is φ = 101601091584.

The previous prime is 389425736443. The next prime is 389425736489. The reversal of 389425736448 is 844637524983.

389425736448 is a `hidden beast` number, since 3 + 89 + 42 + 5 + 73 + 6 + 448 = 666.

It is a tau number, because it is divible by the number of its divisors (864).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (389425736443) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3639492811 + ... + 3639492917.

Almost surely, 2^389425736448 is an apocalyptic number.

389425736448 is a gapful number since it is divisible by the number (38) 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 389425736448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (718124243200).

389425736448 is an abundant number, since it is smaller than the sum of its proper divisors (1046822749952).

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

389425736448 is a wasteful number, since it uses less digits than its factorization.

389425736448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 302 (or 175 counting only the distinct ones).

The product of its digits is 139345920, while the sum is 63.

The spelling of 389425736448 in words is "three hundred eighty-nine billion, four hundred twenty-five million, seven hundred thirty-six thousand, four hundred forty-eight".