3851409262008 has 512 divisors, whose sum is σ = 12982859366400. Its totient is φ = 921896640000.

The previous prime is 3851409261971. The next prime is 3851409262037. The reversal of 3851409262008 is 8002629041583.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 378958735 + ... + 378968897.

It is an arithmetic number, because the mean of its divisors is an integer number (25357147200).

Almost surely, 2^{3851409262008} is an apocalyptic number.

3851409262008 is a gapful number since it is divisible by the number (38) 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 3851409262008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6491429683200).

3851409262008 is an abundant number, since it is smaller than the sum of its proper divisors (9131450104392).

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

3851409262008 is a wasteful number, since it uses less digits than its factorization.

3851409262008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10503 (or 10499 counting only the distinct ones).

The product of its (nonzero) digits is 829440, while the sum is 48.

The spelling of 3851409262008 in words is "three trillion, eight hundred fifty-one billion, four hundred nine million, two hundred sixty-two thousand, eight".