3892445258688 has 168 divisors, whose sum is σ = 12792385237632. Its totient is φ = 1108504300032.

The previous prime is 3892445258633. The next prime is 3892445258699. The reversal of 3892445258688 is 8868525442983.

3892445258688 is a `hidden beast` number, since 3 + 8 + 9 + 2 + 445 + 25 + 86 + 88 = 666.

It is a tau number, because it is divible by the number of its divisors (168).

It is a super-2 number, since 2×3892445258688² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 334470 + ... + 2810117.

It is an arithmetic number, because the mean of its divisors is an integer number (76145150224).

Almost surely, 2^{3892445258688} 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 3892445258688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6396192618816).

3892445258688 is an abundant number, since it is smaller than the sum of its proper divisors (8899939978944).

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

3892445258688 is a wasteful number, since it uses less digits than its factorization.

3892445258688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3144919 (or 3144906 counting only the distinct ones).

The product of its digits is 1061683200, while the sum is 72.

The spelling of 3892445258688 in words is "three trillion, eight hundred ninety-two billion, four hundred forty-five million, two hundred fifty-eight thousand, six hundred eighty-eight".