3778240855200 has 576 divisors, whose sum is σ = 14433518195712. Its totient is φ = 840488140800.

The previous prime is 3778240855187. The next prime is 3778240855217. The reversal of 3778240855200 is 25580428773.

3778240855200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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, 204429960 + ... + 204448440.

It is an arithmetic number, because the mean of its divisors is an integer number (25058191312).

Almost surely, 2^{3778240855200} is an apocalyptic number.

3778240855200 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 3778240855200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7216759097856).

3778240855200 is an abundant number, since it is smaller than the sum of its proper divisors (10655277340512).

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

3778240855200 is a wasteful number, since it uses less digits than its factorization.

3778240855200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18837 (or 18824 counting only the distinct ones).

The product of its (nonzero) digits is 3763200, while the sum is 51.

The spelling of 3778240855200 in words is "three trillion, seven hundred seventy-eight billion, two hundred forty million, eight hundred fifty-five thousand, two hundred".