3878758426800 has 240 divisors, whose sum is σ = 13161836195712. Its totient is φ = 973048320000.

The previous prime is 3878758426799. The next prime is 3878758426811. The reversal of 3878758426800 is 86248578783.

It is a tau number, because it is divible by the number of its divisors (240).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 45878167 + ... + 45962633.

Almost surely, 2^{3878758426800} is an apocalyptic number.

3878758426800 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 3878758426800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6580918097856).

3878758426800 is an abundant number, since it is smaller than the sum of its proper divisors (9283077768912).

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

3878758426800 is a wasteful number, since it uses less digits than its factorization.

3878758426800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 86756 (or 86745 counting only the distinct ones).

The product of its (nonzero) digits is 144506880, while the sum is 66.

The spelling of 3878758426800 in words is "three trillion, eight hundred seventy-eight billion, seven hundred fifty-eight million, four hundred twenty-six thousand, eight hundred".