3489369408000 has 2560 divisors, whose sum is σ = 15884240486400. Its totient is φ = 736985088000.

The previous prime is 3489369407971. The next prime is 3489369408043. The reversal of 3489369408000 is 8049639843.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (2560).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 14599871881 + ... + 14599872119.

It is an arithmetic number, because the mean of its divisors is an integer number (6204781440).

Almost surely, 2^{3489369408000} is an apocalyptic number.

3489369408000 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 3489369408000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7942120243200).

3489369408000 is an abundant number, since it is smaller than the sum of its proper divisors (12394871078400).

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

3489369408000 is a wasteful number, since it uses less digits than its factorization.

3489369408000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 376 (or 344 counting only the distinct ones).

The product of its (nonzero) digits is 4478976, while the sum is 54.

The spelling of 3489369408000 in words is "three trillion, four hundred eighty-nine billion, three hundred sixty-nine million, four hundred eight thousand".