3412753344 has 448 divisors, whose sum is σ = 13477524480. Its totient is φ = 817827840.

The previous prime is 3412753303. The next prime is 3412753361. The reversal of 3412753344 is 4433572143.

3412753344 is a `hidden beast` number, since 3 + 41 + 275 + 3 + 344 = 666.

It is a tau number, because it is divible by the number of its divisors (448).

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

It is a junction number, because it is equal to n+sod(n) for n = 3412753299 and 3412753308.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1728742 + ... + 1730714.

It is an arithmetic number, because the mean of its divisors is an integer number (30083760).

Almost surely, 2^3412753344 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 3412753344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6738762240).

3412753344 is an abundant number, since it is smaller than the sum of its proper divisors (10064771136).

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

3412753344 is a wasteful number, since it uses less digits than its factorization.

3412753344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2025 (or 2009 counting only the distinct ones).

The product of its digits is 120960, while the sum is 36.

The square root of 3412753344 is about 58418.7756119554. The cubic root of 3412753344 is about 1505.5723615573.

The spelling of 3412753344 in words is "three billion, four hundred twelve million, seven hundred fifty-three thousand, three hundred forty-four".