3431145690 has 128 divisors (see below), whose sum is σ = 10628605440. Its totient is φ = 771379200.

The previous prime is 3431145659. The next prime is 3431145703. The reversal of 3431145690 is 965411343.

It is a super-2 number, since 2×3431145690² = 23545521492011152200, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 100410 + ... + 130170.

It is an arithmetic number, because the mean of its divisors is an integer number (83035980).

Almost surely, 2^3431145690 is an apocalyptic number.

3431145690 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 3431145690, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5314302720).

3431145690 is an abundant number, since it is smaller than the sum of its proper divisors (7197459750).

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

3431145690 is a wasteful number, since it uses less digits than its factorization.

3431145690 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29845 (or 29839 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 36.

The square root of 3431145690 is about 58575.9821940700. The cubic root of 3431145690 is about 1508.2721768664.

The spelling of 3431145690 in words is "three billion, four hundred thirty-one million, one hundred forty-five thousand, six hundred ninety".