3431173824 has 224 divisors, whose sum is σ = 11436096000. Its totient is φ = 1000055808.

The previous prime is 3431173819. The next prime is 3431173829. The reversal of 3431173824 is 4283711343.

It is an interprime number because it is at equal distance from previous prime (3431173819) and next prime (3431173829).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (3431173829) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 422797 + ... + 430835.

It is an arithmetic number, because the mean of its divisors is an integer number (51054000).

Almost surely, 2^3431173824 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3431173824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5718048000).

3431173824 is an abundant number, since it is smaller than the sum of its proper divisors (8004922176).

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

3431173824 is a wasteful number, since it uses less digits than its factorization.

3431173824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8092 (or 8076 counting only the distinct ones).

The product of its digits is 48384, while the sum is 36.

The square root of 3431173824 is about 58576.2223432000. Note that the first 3 decimals coincide. The cubic root of 3431173824 is about 1508.2762992614.

The spelling of 3431173824 in words is "three billion, four hundred thirty-one million, one hundred seventy-three thousand, eight hundred twenty-four".