385224063840 has 960 divisors, whose sum is σ = 1719175062528. Its totient is φ = 78904627200.

The previous prime is 385224063827. The next prime is 385224063937. The reversal of 385224063840 is 48360422583.

385224063840 is a `hidden beast` number, since 3 + 8 + 5 + 2 + 2 + 4 + 0 + 638 + 4 + 0 = 666.

It is a super-2 number, since 2×385224063840² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 70849602 + ... + 70855038.

Almost surely, 2^385224063840 is an apocalyptic number.

385224063840 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 385224063840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (859587531264).

385224063840 is an abundant number, since it is smaller than the sum of its proper divisors (1333950998688).

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

385224063840 is a wasteful number, since it uses less digits than its factorization.

385224063840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5553 (or 5536 counting only the distinct ones).

The product of its (nonzero) digits is 1105920, while the sum is 45.

The spelling of 385224063840 in words is "three hundred eighty-five billion, two hundred twenty-four million, sixty-three thousand, eight hundred forty".