3851442400000 has 648 divisors, whose sum is σ = 10598435750448. Its totient is φ = 1395763200000.

The previous prime is 3851442399979. The next prime is 3851442400063. The reversal of 3851442400000 is 42441583.

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 71 ways as a sum of consecutive naturals, for example, 8247199767 + ... + 8247200233.

It is an arithmetic number, because the mean of its divisors is an integer number (16355610726).

Almost surely, 2^{3851442400000} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3851442400000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5299217875224).

3851442400000 is an abundant number, since it is smaller than the sum of its proper divisors (6746993350448).

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

3851442400000 is an frugal number, since it uses more digits than its factorization.

3851442400000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 595 (or 548 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 31.

Adding to 3851442400000 its reverse (42441583), we get a palindrome (3851484841583).

The spelling of 3851442400000 in words is "three trillion, eight hundred fifty-one billion, four hundred forty-two million, four hundred thousand".