385415891328 has 384 divisors, whose sum is σ = 1201302144000. Its totient is φ = 108708065280.

The previous prime is 385415891303. The next prime is 385415891449. The reversal of 385415891328 is 823198514583.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (57).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 55862023 + ... + 55868921.

It is an arithmetic number, because the mean of its divisors is an integer number (3128391000).

Almost surely, 2^385415891328 is an apocalyptic number.

385415891328 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 385415891328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (600651072000).

385415891328 is an abundant number, since it is smaller than the sum of its proper divisors (815886252672).

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

385415891328 is a wasteful number, since it uses less digits than its factorization.

385415891328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6998 (or 6967 counting only the distinct ones).

The product of its digits is 8294400, while the sum is 57.

The spelling of 385415891328 in words is "three hundred eighty-five billion, four hundred fifteen million, eight hundred ninety-one thousand, three hundred twenty-eight".