3133144032 has 48 divisors (see below), whose sum is σ = 8230626432. Its totient is φ = 1043603840.

The previous prime is 3133144031. The next prime is 3133144073. The reversal of 3133144032 is 2304413313.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 3133143993 and 3133144011.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3133144031) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 125557 + ... + 148427.

It is an arithmetic number, because the mean of its divisors is an integer number (171471384).

Almost surely, 2^3133144032 is an apocalyptic number.

3133144032 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

3133144032 is an abundant number, since it is smaller than the sum of its proper divisors (5097482400).

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

3133144032 is a wasteful number, since it uses less digits than its factorization.

3133144032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24311 (or 24303 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 24.

The square root of 3133144032 is about 55974.4944773957. The cubic root of 3133144032 is about 1463.2778097676.

Adding to 3133144032 its reverse (2304413313), we get a palindrome (5437557345).

The spelling of 3133144032 in words is "three billion, one hundred thirty-three million, one hundred forty-four thousand, thirty-two".