3806277606144 has 288 divisors, whose sum is σ = 12539662833600. Its totient is φ = 1130776657920.

The previous prime is 3806277606139. The next prime is 3806277606211. The reversal of 3806277606144 is 4416067726083.

3806277606144 is a `hidden beast` number, since 3 + 8 + 0 + 6 + 27 + 7 + 606 + 1 + 4 + 4 = 666.

3806277606144 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (288).

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

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1875484 + ... + 3336164.

It is an arithmetic number, because the mean of its divisors is an integer number (43540495950).

Almost surely, 2^{3806277606144} 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 3806277606144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6269831416800).

3806277606144 is an abundant number, since it is smaller than the sum of its proper divisors (8733385227456).

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

3806277606144 is a wasteful number, since it uses less digits than its factorization.

3806277606144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1460748 (or 1460728 counting only the distinct ones).

The product of its (nonzero) digits is 8128512, while the sum is 54.

The spelling of 3806277606144 in words is "three trillion, eight hundred six billion, two hundred seventy-seven million, six hundred six thousand, one hundred forty-four".