3805885440 has 1056 divisors, whose sum is σ = 17167288320. Its totient is φ = 788299776.

The previous prime is 3805885439. The next prime is 3805885451. The reversal of 3805885440 is 445885083.

3805885440 is a `hidden beast` number, since 3 + 80 + 58 + 85 + 440 = 666.

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 95 ways as a sum of consecutive naturals, for example, 165473269 + ... + 165473291.

Almost surely, 2^3805885440 is an apocalyptic number.

3805885440 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 3805885440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8583644160).

3805885440 is an abundant number, since it is smaller than the sum of its proper divisors (13361402880).

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

3805885440 is a wasteful number, since it uses less digits than its factorization.

3805885440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 89 (or 59 counting only the distinct ones).

The product of its (nonzero) digits is 614400, while the sum is 45.

The square root of 3805885440 is about 61691.8587821764. The cubic root of 3805885440 is about 1561.2959645040.

The spelling of 3805885440 in words is "three billion, eight hundred five million, eight hundred eighty-five thousand, four hundred forty".