3923544102912 has 768 divisors, whose sum is σ = 14408193945600. Its totient is φ = 1029266472960.

The previous prime is 3923544102911. The next prime is 3923544102937. The reversal of 3923544102912 is 2192014453293.

3923544102912 is a `hidden beast` number, since 3 + 9 + 2 + 3 + 544 + 10 + 2 + 91 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (768).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3923544102911) by changing a digit.

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, 269781913 + ... + 269796455.

It is an arithmetic number, because the mean of its divisors is an integer number (18760669200).

Almost surely, 2^{3923544102912} is an apocalyptic number.

3923544102912 is a gapful number since it is divisible by the number (32) 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 3923544102912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7204096972800).

3923544102912 is an abundant number, since it is smaller than the sum of its proper divisors (10484649842688).

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

3923544102912 is a wasteful number, since it uses less digits than its factorization.

3923544102912 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14639 (or 14613 counting only the distinct ones).

The product of its (nonzero) digits is 466560, while the sum is 45.

The spelling of 3923544102912 in words is "three trillion, nine hundred twenty-three billion, five hundred forty-four million, one hundred two thousand, nine hundred twelve".