3403085664000 has 576 divisors, whose sum is σ = 12504876733440. Its totient is φ = 813352960000.

The previous prime is 3403085663983. The next prime is 3403085664019. The reversal of 3403085664000 is 4665803043.

It is a super-3 number, since 3×3403085664000³ (a number of 39 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 3403085664000.

It is a congruent number.

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 63 ways as a sum of consecutive naturals, for example, 74953306 + ... + 74998694.

It is an arithmetic number, because the mean of its divisors is an integer number (21709855440).

Almost surely, 2^{3403085664000} is an apocalyptic number.

3403085664000 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 3403085664000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6252438366720).

3403085664000 is an abundant number, since it is smaller than the sum of its proper divisors (9101791069440).

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

3403085664000 is a wasteful number, since it uses less digits than its factorization.

3403085664000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45505 (or 45481 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 39.

The spelling of 3403085664000 in words is "three trillion, four hundred three billion, eighty-five million, six hundred sixty-four thousand".