3855352320 has 240 divisors, whose sum is σ = 14056511040. Its totient is φ = 973873152.

The previous prime is 3855352289. The next prime is 3855352321. The reversal of 3855352320 is 232535583.

3855352320 is a `hidden beast` number, since 3 + 85 + 53 + 523 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-2 number, since 2×3855352320² = 29727483022658764800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (3855352321) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 433357 + ... + 442163.

It is an arithmetic number, because the mean of its divisors is an integer number (58568796).

Almost surely, 2^3855352320 is an apocalyptic number.

3855352320 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 3855352320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7028255520).

3855352320 is an abundant number, since it is smaller than the sum of its proper divisors (10201158720).

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

3855352320 is a wasteful number, since it uses less digits than its factorization.

3855352320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8855 (or 8836 counting only the distinct ones).

The product of its (nonzero) digits is 108000, while the sum is 36.

The square root of 3855352320 is about 62091.4834739838. The cubic root of 3855352320 is about 1568.0311669496.

The spelling of 3855352320 in words is "three billion, eight hundred fifty-five million, three hundred fifty-two thousand, three hundred twenty".