3897042589440 has 2304 divisors, whose sum is σ = 18735027978240. Its totient is φ = 740762910720.

The previous prime is 3897042589381. The next prime is 3897042589553. The reversal of 3897042589440 is 449852407983.

3897042589440 is a `hidden beast` number, since 3 + 8 + 9 + 7 + 0 + 4 + 2 + 589 + 4 + 40 = 666.

3897042589440 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (2304).

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 polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 4393508677 + ... + 4393509563.

It is an arithmetic number, because the mean of its divisors is an integer number (8131522560).

Almost surely, 2^{3897042589440} is an apocalyptic number.

3897042589440 is a gapful number since it is divisible by the number (30) 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 3897042589440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9367513989120).

3897042589440 is an abundant number, since it is smaller than the sum of its proper divisors (14837985388800).

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

3897042589440 is a wasteful number, since it uses less digits than its factorization.

3897042589440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1075 (or 1055 counting only the distinct ones).

The product of its (nonzero) digits is 69672960, while the sum is 63.

The spelling of 3897042589440 in words is "three trillion, eight hundred ninety-seven billion, forty-two million, five hundred eighty-nine thousand, four hundred forty".