3431122000 has 40 divisors (see below), whose sum is σ = 8296457832. Its totient is φ = 1372448000.

The previous prime is 3431121959. The next prime is 3431122007. The reversal of 3431122000 is 2211343.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 923916816 + 2507205184 = 30396^2 + 50072^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

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

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 855781 + ... + 859780.

Almost surely, 2^3431122000 is an apocalyptic number.

It is an amenable number.

3431122000 is an abundant number, since it is smaller than the sum of its proper divisors (4865335832).

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

3431122000 is a wasteful number, since it uses less digits than its factorization.

3431122000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1715584 (or 1715568 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

The square root of 3431122000 is about 58575.7799777348. The cubic root of 3431122000 is about 1508.2687056206.

Adding to 3431122000 its reverse (2211343), we get a palindrome (3433333343).

The spelling of 3431122000 in words is "three billion, four hundred thirty-one million, one hundred twenty-two thousand".