3827845294144 has 21 divisors (see below), whose sum is σ = 7595911564941. Its totient is φ = 1913914821120.

The previous prime is 3827845294123. The next prime is 3827845294151. The reversal of 3827845294144 is 4414925487283.

It is a happy number.

The square root of 3827845294144 is 1956488.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 2992595527744 + 835249766400 = 1729912^2 + 913920^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 2 ways as a sum of consecutive naturals, for example, 15529624 + ... + 15774184.

It is an arithmetic number, because the mean of its divisors is an integer number (361710074521).

Almost surely, 2^{3827845294144} is an apocalyptic number.

3827845294144 is the 1956488-th square number.

It is an amenable number.

3827845294144 is a deficient number, since it is larger than the sum of its proper divisors (3768066270797).

3827845294144 is an frugal number, since it uses more digits than its factorization.

3827845294144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 489134 (or 244563 counting only the distinct ones).

The product of its digits is 61931520, while the sum is 61.

The spelling of 3827845294144 in words is "three trillion, eight hundred twenty-seven billion, eight hundred forty-five million, two hundred ninety-four thousand, one hundred forty-four".