384528103647072 has 2304 divisors, whose sum is σ = 1387084402851840. Its totient is φ = 92053230796800.

The previous prime is 384528103647071. The next prime is 384528103647073. The reversal of 384528103647072 is 270746301825483.

It is an interprime number because it is at equal distance from previous prime (384528103647071) and next prime (384528103647073).

It is a junction number, because it is equal to n+sod(n) for n = 384528103646997 and 384528103647015.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (384528103647071) by changing a digit.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 1071108923629 + ... + 1071108923987.

It is an arithmetic number, because the mean of its divisors is an integer number (602033160960).

Almost surely, 2^{384528103647072} is an apocalyptic number.

384528103647072 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 384528103647072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (693542201425920).

384528103647072 is an abundant number, since it is smaller than the sum of its proper divisors (1002556299204768).

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

384528103647072 is a wasteful number, since it uses less digits than its factorization.

384528103647072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 817 (or 802 counting only the distinct ones).

The product of its (nonzero) digits is 54190080, while the sum is 60.

The spelling of 384528103647072 in words is "three hundred eighty-four trillion, five hundred twenty-eight billion, one hundred three million, six hundred forty-seven thousand, seventy-two".