3884945725440 has 1536 divisors, whose sum is σ = 15459616972800. Its totient is φ = 919205314560.

The previous prime is 3884945725433. The next prime is 3884945725481. The reversal of 3884945725440 is 445275494883.

3884945725440 is a `hidden beast` number, since 3 + 8 + 8 + 4 + 9 + 4 + 572 + 54 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1536).

It is a super-2 number, since 2×3884945725440² (a number of 26 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 17421281169 + ... + 17421281391.

It is an arithmetic number, because the mean of its divisors is an integer number (10064854800).

Almost surely, 2^{3884945725440} is an apocalyptic number.

3884945725440 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 3884945725440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7729808486400).

3884945725440 is an abundant number, since it is smaller than the sum of its proper divisors (11574671247360).

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

3884945725440 is a wasteful number, since it uses less digits than its factorization.

3884945725440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 440 (or 414 counting only the distinct ones).

The product of its (nonzero) digits is 154828800, while the sum is 63.

The spelling of 3884945725440 in words is "three trillion, eight hundred eighty-four billion, nine hundred forty-five million, seven hundred twenty-five thousand, four hundred forty".