3406476959424 has 1680 divisors, whose sum is σ = 13420480550400. Its totient is φ = 834612387840.

The previous prime is 3406476959419. The next prime is 3406476959429. The reversal of 3406476959424 is 4249596746043.

3406476959424 is a `hidden beast` number, since 3 + 40 + 64 + 7 + 69 + 59 + 424 = 666.

It is an interprime number because it is at equal distance from previous prime (3406476959419) and next prime (3406476959429).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3406476959429) by changing a digit.

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 239 ways as a sum of consecutive naturals, for example, 8988065667 + ... + 8988066045.

It is an arithmetic number, because the mean of its divisors is an integer number (7988381280).

Almost surely, 2^{3406476959424} 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 3406476959424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6710240275200).

3406476959424 is an abundant number, since it is smaller than the sum of its proper divisors (10014003590976).

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

3406476959424 is a wasteful number, since it uses less digits than its factorization.

3406476959424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 544 (or 514 counting only the distinct ones).

The product of its (nonzero) digits is 156764160, while the sum is 63.

The spelling of 3406476959424 in words is "three trillion, four hundred six billion, four hundred seventy-six million, nine hundred fifty-nine thousand, four hundred twenty-four".