385001752128 has 168 divisors, whose sum is σ = 1228670574912. Its totient is φ = 104210869248.

The previous prime is 385001752111. The next prime is 385001752169. The reversal of 385001752128 is 821257100583.

It is a tau number, because it is divible by the number of its divisors (168).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a self number, because there is not a number n which added to its sum of digits gives 385001752128.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 88426 + ... + 881942.

Almost surely, 2^385001752128 is an apocalyptic number.

385001752128 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 385001752128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (614335287456).

385001752128 is an abundant number, since it is smaller than the sum of its proper divisors (843668822784).

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

385001752128 is a wasteful number, since it uses less digits than its factorization.

385001752128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 793577 (or 793548 counting only the distinct ones).

The product of its (nonzero) digits is 134400, while the sum is 42.

The spelling of 385001752128 in words is "three hundred eighty-five billion, one million, seven hundred fifty-two thousand, one hundred twenty-eight".