3406989397824 has 280 divisors, whose sum is σ = 10185849986400. Its totient is φ = 1125981803520.

The previous prime is 3406989397813. The next prime is 3406989397829. The reversal of 3406989397824 is 4287939896043.

3406989397824 is a `hidden beast` number, since 340 + 6 + 98 + 93 + 97 + 8 + 24 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3406989397829) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 294232867 + ... + 294244445.

Almost surely, 2^{3406989397824} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3406989397824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5092924993200).

3406989397824 is an abundant number, since it is smaller than the sum of its proper divisors (6778860588576).

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

3406989397824 is a wasteful number, since it uses less digits than its factorization.

3406989397824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12083 (or 12064 counting only the distinct ones).

The product of its (nonzero) digits is 564350976, while the sum is 72.

The spelling of 3406989397824 in words is "three trillion, four hundred six billion, nine hundred eighty-nine million, three hundred ninety-seven thousand, eight hundred twenty-four".