3855232427904 has 1536 divisors, whose sum is σ = 14402004664320. Its totient is φ = 979535462400.

The previous prime is 3855232427867. The next prime is 3855232427909. The reversal of 3855232427904 is 4097242325583.

3855232427904 is a `hidden beast` number, since 3 + 8 + 5 + 523 + 2 + 4 + 27 + 90 + 4 = 666.

It is a super-5 number, since 5×3855232427904⁵ (a number of 64 digits) contains 55555 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3855232427909) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 10504720329 + ... + 10504720695.

It is an arithmetic number, because the mean of its divisors is an integer number (9376305120).

Almost surely, 2^{3855232427904} is an apocalyptic number.

3855232427904 is a gapful number since it is divisible by the number (34) 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 3855232427904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7201002332160).

3855232427904 is an abundant number, since it is smaller than the sum of its proper divisors (10546772236416).

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

3855232427904 is a wasteful number, since it uses less digits than its factorization.

3855232427904 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 481 (or 444 counting only the distinct ones).

The product of its (nonzero) digits is 14515200, while the sum is 54.

The spelling of 3855232427904 in words is "three trillion, eight hundred fifty-five billion, two hundred thirty-two million, four hundred twenty-seven thousand, nine hundred four".