3867344110544 has 80 divisors (see below), whose sum is σ = 8239916183040. Its totient is φ = 1750413680640.

The previous prime is 3867344110499. The next prime is 3867344110577. The reversal of 3867344110544 is 4450114437683.

It is a junction number, because it is equal to n+sod(n) for n = 3867344110492 and 3867344110501.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 32489 + ... + 2781320.

It is an arithmetic number, because the mean of its divisors is an integer number (102998952288).

Almost surely, 2^{3867344110544} is an apocalyptic number.

3867344110544 is a gapful number since it is divisible by the number (34) 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 3867344110544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4119958091520).

3867344110544 is an abundant number, since it is smaller than the sum of its proper divisors (4372572072496).

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

3867344110544 is a wasteful number, since it uses less digits than its factorization.

3867344110544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2814028 (or 2814022 counting only the distinct ones).

The product of its (nonzero) digits is 3870720, while the sum is 50.

The spelling of 3867344110544 in words is "three trillion, eight hundred sixty-seven billion, three hundred forty-four million, one hundred ten thousand, five hundred forty-four".