3488963894400 has 384 divisors, whose sum is σ = 11973450792960. Its totient is φ = 891954892800.

The previous prime is 3488963894327. The next prime is 3488963894467. The reversal of 3488963894400 is 44983698843.

It is a tau number, because it is divible by the number of its divisors (384).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 31788417 + ... + 31897983.

It is an arithmetic number, because the mean of its divisors is an integer number (31180861440).

Almost surely, 2^{3488963894400} is an apocalyptic number.

3488963894400 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 3488963894400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5986725396480).

3488963894400 is an abundant number, since it is smaller than the sum of its proper divisors (8484486898560).

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

3488963894400 is a wasteful number, since it uses less digits than its factorization.

3488963894400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 109732 (or 109715 counting only the distinct ones).

The product of its (nonzero) digits is 143327232, while the sum is 66.

The spelling of 3488963894400 in words is "three trillion, four hundred eighty-eight billion, nine hundred sixty-three million, eight hundred ninety-four thousand, four hundred".