3805025241600 has 1440 divisors, whose sum is σ = 16162720728000. Its totient is φ = 873698918400.

The previous prime is 3805025241571. The next prime is 3805025241607. The reversal of 3805025241600 is 61425205083.

3805025241600 is a `hidden beast` number, since 3 + 8 + 0 + 5 + 0 + 2 + 5 + 2 + 41 + 600 = 666.

It is a tau number, because it is divible by the number of its divisors (1440).

It is a super-4 number, since 4×3805025241600⁴ (a number of 51 digits) contains 4444 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 (3805025241607) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 794532006 + ... + 794536794.

Almost surely, 2^{3805025241600} is an apocalyptic number.

3805025241600 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 3805025241600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8081360364000).

3805025241600 is an abundant number, since it is smaller than the sum of its proper divisors (12357695486400).

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

3805025241600 is a wasteful number, since it uses less digits than its factorization.

3805025241600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4867 (or 4829 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 36.

The spelling of 3805025241600 in words is "three trillion, eight hundred five billion, twenty-five million, two hundred forty-one thousand, six hundred".