3870189440352 has 144 divisors (see below), whose sum is σ = 11386566303840. Its totient is φ = 1245446608896.

The previous prime is 3870189440321. The next prime is 3870189440353. The reversal of 3870189440352 is 2530449810783.

It is a happy number.

3870189440352 is a `hidden beast` number, since 3 + 8 + 7 + 0 + 189 + 4 + 403 + 52 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3870189440353) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 107079628 + ... + 107115764.

It is an arithmetic number, because the mean of its divisors is an integer number (79073377110).

Almost surely, 2^{3870189440352} is an apocalyptic number.

3870189440352 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 3870189440352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5693283151920).

3870189440352 is an abundant number, since it is smaller than the sum of its proper divisors (7516376863488).

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

3870189440352 is a wasteful number, since it uses less digits than its factorization.

3870189440352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 49005 (or 48994 counting only the distinct ones).

The product of its (nonzero) digits is 5806080, while the sum is 54.

The spelling of 3870189440352 in words is "three trillion, eight hundred seventy billion, one hundred eighty-nine million, four hundred forty thousand, three hundred fifty-two".