3421565406 has 144 divisors (see below), whose sum is σ = 8948815200. Its totient is φ = 924432768.

The previous prime is 3421565351. The next prime is 3421565423. The reversal of 3421565406 is 6045651243.

3421565406 is a `hidden beast` number, since 34 + 21 + 565 + 40 + 6 = 666.

It is a super-4 number, since 4×3421565406⁴ (a number of 39 digits) contains 4444 as substring.

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 12719440 + ... + 12719708.

It is an arithmetic number, because the mean of its divisors is an integer number (62144550).

Almost surely, 2^3421565406 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3421565406, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4474407600).

3421565406 is an abundant number, since it is smaller than the sum of its proper divisors (5527249794).

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

3421565406 is a wasteful number, since it uses less digits than its factorization.

3421565406 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 431 (or 369 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 36.

The square root of 3421565406 is about 58494.1484765784. The cubic root of 3421565406 is about 1506.8670927167.

The spelling of 3421565406 in words is "three billion, four hundred twenty-one million, five hundred sixty-five thousand, four hundred six".