385620963840 has 800 divisors, whose sum is σ = 1589967878400. Its totient is φ = 87501275136.

The previous prime is 385620963821. The next prime is 385620963841. The reversal of 385620963840 is 48369026583.

385620963840 is a `hidden beast` number, since 3 + 8 + 5 + 620 + 9 + 6 + 3 + 8 + 4 + 0 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (385620963841) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 216275589 + ... + 216277371.

It is an arithmetic number, because the mean of its divisors is an integer number (1987459848).

Almost surely, 2^385620963840 is an apocalyptic number.

385620963840 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 385620963840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (794983939200).

385620963840 is an abundant number, since it is smaller than the sum of its proper divisors (1204346914560).

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

385620963840 is a wasteful number, since it uses less digits than its factorization.

385620963840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1974 (or 1949 counting only the distinct ones).

The product of its (nonzero) digits is 7464960, while the sum is 54.

The spelling of 385620963840 in words is "three hundred eighty-five billion, six hundred twenty million, nine hundred sixty-three thousand, eight hundred forty".