3421106522406 has 64 divisors (see below), whose sum is σ = 7695225331200. Its totient is φ = 1126505340000.

The previous prime is 3421106522401. The next prime is 3421106522411. The reversal of 3421106522406 is 6042256011243.

3421106522406 is a `hidden beast` number, since 3 + 4 + 21 + 106 + 522 + 4 + 0 + 6 = 666.

It is an interprime number because it is at equal distance from previous prime (3421106522401) and next prime (3421106522411).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3421106522401) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1679881 + ... + 3108731.

It is an arithmetic number, because the mean of its divisors is an integer number (120237895800).

Almost surely, 2^{3421106522406} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3421106522406, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3847612665600).

3421106522406 is an abundant number, since it is smaller than the sum of its proper divisors (4274118808794).

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

3421106522406 is a wasteful number, since it uses less digits than its factorization.

3421106522406 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1429402 (or 1429396 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The spelling of 3421106522406 in words is "three trillion, four hundred twenty-one billion, one hundred six million, five hundred twenty-two thousand, four hundred six".