3431124032 has 56 divisors (see below), whose sum is σ = 7971129600. Its totient is φ = 1434608640.

The previous prime is 3431124031. The next prime is 3431124041. The reversal of 3431124032 is 2304211343.

It is a tau number, because it is divible by the number of its divisors (56).

It is a super-2 number, since 2×3431124032² = 23545224245935874048, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 3431123989 and 3431124007.

It is not an unprimeable number, because it can be changed into a prime (3431124031) 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, 75032 + ... + 111767.

It is an arithmetic number, because the mean of its divisors is an integer number (142341600).

Almost surely, 2^3431124032 is an apocalyptic number.

3431124032 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

3431124032 is an abundant number, since it is smaller than the sum of its proper divisors (4540005568).

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

3431124032 is a wasteful number, since it uses less digits than its factorization.

3431124032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 186859 (or 186849 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 23.

The square root of 3431124032 is about 58575.7973227851. The cubic root of 3431124032 is about 1508.2690033660.

Adding to 3431124032 its reverse (2304211343), we get a palindrome (5735335375).

The spelling of 3431124032 in words is "three billion, four hundred thirty-one million, one hundred twenty-four thousand, thirty-two".