385638600480 has 288 divisors, whose sum is σ = 1413948493440. Its totient is φ = 88092426240.

The previous prime is 385638600463. The next prime is 385638600497. The reversal of 385638600480 is 84006836583.

It is an interprime number because it is at equal distance from previous prime (385638600463) and next prime (385638600497).

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, 48941181 + ... + 48949059.

It is an arithmetic number, because the mean of its divisors is an integer number (4909543380).

Almost surely, 2^385638600480 is an apocalyptic number.

385638600480 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 385638600480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (706974246720).

385638600480 is an abundant number, since it is smaller than the sum of its proper divisors (1028309892960).

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

385638600480 is a wasteful number, since it uses less digits than its factorization.

385638600480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9992 (or 9977 counting only the distinct ones).

The product of its (nonzero) digits is 3317760, while the sum is 51.

The spelling of 385638600480 in words is "three hundred eighty-five billion, six hundred thirty-eight million, six hundred thousand, four hundred eighty".