3431478008322 has 256 divisors, whose sum is σ = 9911311441920. Its totient is φ = 855225195264.

The previous prime is 3431478008311. The next prime is 3431478008327. The reversal of 3431478008322 is 2238008741343.

3431478008322 is a `hidden beast` number, since 3 + 4 + 314 + 7 + 8 + 0 + 0 + 8 + 322 = 666.

It is not an unprimeable number, because it can be changed into a prime (3431478008327) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 9197928 + ... + 9563724.

It is an arithmetic number, because the mean of its divisors is an integer number (38716060320).

Almost surely, 2^{3431478008322} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3431478008322, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4955655720960).

3431478008322 is an abundant number, since it is smaller than the sum of its proper divisors (6479833433598).

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

3431478008322 is a wasteful number, since it uses less digits than its factorization.

3431478008322 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 365934 (or 365928 counting only the distinct ones).

The product of its (nonzero) digits is 774144, while the sum is 45.

The spelling of 3431478008322 in words is "three trillion, four hundred thirty-one billion, four hundred seventy-eight million, eight thousand, three hundred twenty-two".