3952904380128 has 288 divisors, whose sum is σ = 12307473569664. Its totient is φ = 1193512320000.

The previous prime is 3952904380121. The next prime is 3952904380171. The reversal of 3952904380128 is 8210834092593.

3952904380128 is a `hidden beast` number, since 3 + 9 + 52 + 90 + 4 + 380 + 128 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3952904380121) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1561794223 + ... + 1561796753.

It is an arithmetic number, because the mean of its divisors is an integer number (42734283228).

Almost surely, 2^{3952904380128} 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 3952904380128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6153736784832).

3952904380128 is an abundant number, since it is smaller than the sum of its proper divisors (8354569189536).

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

3952904380128 is a wasteful number, since it uses less digits than its factorization.

3952904380128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4150 (or 4139 counting only the distinct ones).

The product of its (nonzero) digits is 3732480, while the sum is 54.

The spelling of 3952904380128 in words is "three trillion, nine hundred fifty-two billion, nine hundred four million, three hundred eighty thousand, one hundred twenty-eight".