3905466888960 has 1728 divisors, whose sum is σ = 17054810922240. Its totient is φ = 803269509120.

The previous prime is 3905466888913. The next prime is 3905466889013. The reversal of 3905466888960 is 698886645093.

3905466888960 is a `hidden beast` number, since 3 + 9 + 0 + 5 + 466 + 88 + 89 + 6 + 0 = 666.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 10039760446 + ... + 10039760834.

Almost surely, 2^{3905466888960} is an apocalyptic number.

3905466888960 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 3905466888960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8527405461120).

3905466888960 is an abundant number, since it is smaller than the sum of its proper divisors (13149344033280).

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

3905466888960 is a wasteful number, since it uses less digits than its factorization.

3905466888960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 654 (or 637 counting only the distinct ones).

The product of its (nonzero) digits is 537477120, while the sum is 72.

The spelling of 3905466888960 in words is "three trillion, nine hundred five billion, four hundred sixty-six million, eight hundred eighty-eight thousand, nine hundred sixty".