3800854278144 has 832 divisors, whose sum is σ = 14327041920000. Its totient is φ = 987126497280.

The previous prime is 3800854278107. The next prime is 3800854278163. The reversal of 3800854278144 is 4418724580083.

3800854278144 is a `hidden beast` number, since 3 + 80 + 0 + 8 + 542 + 7 + 8 + 14 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 417259062 + ... + 417268170.

Almost surely, 2^{3800854278144} 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 3800854278144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7163520960000).

3800854278144 is an abundant number, since it is smaller than the sum of its proper divisors (10526187641856).

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

3800854278144 is an equidigital number, since it uses as much as digits as its factorization.

3800854278144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9174 (or 9132 counting only the distinct ones).

The product of its (nonzero) digits is 6881280, while the sum is 54.

The spelling of 3800854278144 in words is "three trillion, eight hundred billion, eight hundred fifty-four million, two hundred seventy-eight thousand, one hundred forty-four".