3923921669888 has 576 divisors, whose sum is σ = 9526737991680. Its totient is φ = 1593321062400.

The previous prime is 3923921669887. The next prime is 3923921669893. The reversal of 3923921669888 is 8889661293293.

It is a super-3 number, since 3×3923921669888³ (a number of 39 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (74).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3923921669887) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 16840865420 + ... + 16840865652.

It is an arithmetic number, because the mean of its divisors is an integer number (16539475680).

Almost surely, 2^{3923921669888} is an apocalyptic number.

3923921669888 is a gapful number since it is divisible by the number (38) 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 3923921669888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4763368995840).

3923921669888 is an abundant number, since it is smaller than the sum of its proper divisors (5602816321792).

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

3923921669888 is a wasteful number, since it uses less digits than its factorization.

3923921669888 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 544 (or 530 counting only the distinct ones).

The product of its digits is 483729408, while the sum is 74.

The spelling of 3923921669888 in words is "three trillion, nine hundred twenty-three billion, nine hundred twenty-one million, six hundred sixty-nine thousand, eight hundred eighty-eight".