3344124040 has 64 divisors (see below), whose sum is σ = 7688617200. Its totient is φ = 1308582912.

The previous prime is 3344124029. The next prime is 3344124059. The reversal of 3344124040 is 404214433.

It can be written as a sum of positive squares in 8 ways, for example, as 2933088964 + 411035076 = 54158^2 + 20274^2 .

It is a super-2 number, since 2×3344124040² = 22366331189811843200, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 3344123996 and 3344124014.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 788646 + ... + 792874.

Almost surely, 2^3344124040 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 3344124040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3844308600).

3344124040 is an abundant number, since it is smaller than the sum of its proper divisors (4344493160).

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

3344124040 is a wasteful number, since it uses less digits than its factorization.

3344124040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4666 (or 4662 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 25.

The square root of 3344124040 is about 57828.4016725346. The cubic root of 3344124040 is about 1495.4117634035.

Adding to 3344124040 its reverse (404214433), we get a palindrome (3748338473).

The spelling of 3344124040 in words is "three billion, three hundred forty-four million, one hundred twenty-four thousand, forty".