3905852509860 has 192 divisors, whose sum is σ = 12519396524544. Its totient is φ = 891291340800.

The previous prime is 3905852509859. The next prime is 3905852509907. The reversal of 3905852509860 is 689052585093.

It is a super-2 number, since 2×3905852509860² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a junction number, because it is equal to n+sod(n) for n = 3905852509794 and 3905852509803.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1081053414 + ... + 1081057026.

It is an arithmetic number, because the mean of its divisors is an integer number (65205190232).

Almost surely, 2^{3905852509860} is an apocalyptic number.

3905852509860 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 3905852509860, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6259698262272).

3905852509860 is an abundant number, since it is smaller than the sum of its proper divisors (8613544014684).

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

3905852509860 is a wasteful number, since it uses less digits than its factorization.

3905852509860 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7174 (or 7172 counting only the distinct ones).

The product of its (nonzero) digits is 23328000, while the sum is 60.

The spelling of 3905852509860 in words is "three trillion, nine hundred five billion, eight hundred fifty-two million, five hundred nine thousand, eight hundred sixty".