385964127360 has 1024 divisors, whose sum is σ = 1701457920000. Its totient is φ = 80681287680.

The previous prime is 385964127343. The next prime is 385964127401. The reversal of 385964127360 is 63721469583.

385964127360 is a `hidden beast` number, since 3 + 8 + 596 + 4 + 12 + 7 + 36 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 385964127297 and 385964127306.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 66646065 + ... + 66651855.

It is an arithmetic number, because the mean of its divisors is an integer number (1661580000).

It is a 1-persistent number, because it is pandigital, but 2⋅385964127360 = 771928254720 is not.

Almost surely, 2^385964127360 is an apocalyptic number.

385964127360 is a gapful number since it is divisible by the number (30) 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 385964127360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (850728960000).

385964127360 is an abundant number, since it is smaller than the sum of its proper divisors (1315493792640).

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

385964127360 is a wasteful number, since it uses less digits than its factorization.

385964127360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5874 (or 5856 counting only the distinct ones).

The product of its (nonzero) digits is 6531840, while the sum is 54.

The spelling of 385964127360 in words is "three hundred eighty-five billion, nine hundred sixty-four million, one hundred twenty-seven thousand, three hundred sixty".