3889123455672 has 384 divisors, whose sum is σ = 13516451020800. Its totient is φ = 982529823744.

The previous prime is 3889123455631. The next prime is 3889123455739. The reversal of 3889123455672 is 2765543219883.

3889123455672 is a `hidden beast` number, since 3 + 8 + 8 + 9 + 1 + 2 + 3 + 4 + 556 + 72 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

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 95 ways as a sum of consecutive naturals, for example, 24050433 + ... + 24211599.

It is an arithmetic number, because the mean of its divisors is an integer number (35199091200).

Almost surely, 2^{3889123455672} 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 3889123455672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6758225510400).

3889123455672 is an abundant number, since it is smaller than the sum of its proper divisors (9627327565128).

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

3889123455672 is a wasteful number, since it uses less digits than its factorization.

3889123455672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 161355 (or 161348 counting only the distinct ones).

The product of its digits is 87091200, while the sum is 63.

The spelling of 3889123455672 in words is "three trillion, eight hundred eighty-nine billion, one hundred twenty-three million, four hundred fifty-five thousand, six hundred seventy-two".