3813232512 has 128 divisors (see below), whose sum is σ = 10716854400. Its totient is φ = 1197987840.

The previous prime is 3813232471. The next prime is 3813232513. The reversal of 3813232512 is 2152323183.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (128).

It is a self number, because there is not a number n which added to its sum of digits gives 3813232512.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3813232513) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1538218 + ... + 1540694.

It is an arithmetic number, because the mean of its divisors is an integer number (83725425).

Almost surely, 2^3813232512 is an apocalyptic number.

3813232512 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3813232512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5358427200).

3813232512 is an abundant number, since it is smaller than the sum of its proper divisors (6903621888).

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

3813232512 is a wasteful number, since it uses less digits than its factorization.

3813232512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2724 (or 2712 counting only the distinct ones).

The product of its digits is 8640, while the sum is 30.

The square root of 3813232512 is about 61751.3766000403. The cubic root of 3813232512 is about 1562.2999867028.

Adding to 3813232512 its reverse (2152323183), we get a palindrome (5965555695).

The spelling of 3813232512 in words is "three billion, eight hundred thirteen million, two hundred thirty-two thousand, five hundred twelve".