3331124244432 has 140 divisors (see below), whose sum is σ = 9776415818820. Its totient is φ = 1098927212544.

The previous prime is 3331124244379. The next prime is 3331124244451. The reversal of 3331124244432 is 2344424211333.

3331124244432 is a `hidden beast` number, since 3 + 33 + 112 + 42 + 44 + 432 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 1646745961536 + 1684378282896 = 1283256^2 + 1297836^2 .

It is a super-2 number, since 2×3331124244432² (a number of 26 digits) contains 22 as substring.

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

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 340707 + ... + 2603522.

It is an arithmetic number, because the mean of its divisors is an integer number (69831541563).

Almost surely, 2^{3331124244432} 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 3331124244432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4888207909410).

3331124244432 is an abundant number, since it is smaller than the sum of its proper divisors (6445291574388).

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

3331124244432 is an equidigital number, since it uses as much as digits as its factorization.

3331124244432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2944352 (or 2944331 counting only the distinct ones).

The product of its digits is 165888, while the sum is 36.

Adding to 3331124244432 its reverse (2344424211333), we get a palindrome (5675548455765).

The spelling of 3331124244432 in words is "three trillion, three hundred thirty-one billion, one hundred twenty-four million, two hundred forty-four thousand, four hundred thirty-two".