3431122002 has 288 divisors, whose sum is σ = 10164196224. Its totient is φ = 824140800.

The previous prime is 3431121959. The next prime is 3431122007. The reversal of 3431122002 is 2002211343.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (3431122007) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 11710168 + ... + 11710460.

It is an arithmetic number, because the mean of its divisors is an integer number (35292348).

Almost surely, 2^3431122002 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3431122002, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5082098112).

3431122002 is an abundant number, since it is smaller than the sum of its proper divisors (6733074222).

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

3431122002 is a wasteful number, since it uses less digits than its factorization.

3431122002 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 414 (or 404 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 3431122002 is about 58575.7799948067. The cubic root of 3431122002 is about 1508.2687059137.

Adding to 3431122002 its reverse (2002211343), we get a palindrome (5433333345).

The spelling of 3431122002 in words is "three billion, four hundred thirty-one million, one hundred twenty-two thousand, two".