3453648744 has 256 divisors, whose sum is σ = 11354112000. Its totient is φ = 850590720.

The previous prime is 3453648739. The next prime is 3453648769. The reversal of 3453648744 is 4478463543.

It is a junction number, because it is equal to n+sod(n) for n = 3453648693 and 3453648702.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1962537 + ... + 1964295.

It is an arithmetic number, because the mean of its divisors is an integer number (44352000).

Almost surely, 2^3453648744 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 3453648744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5677056000).

3453648744 is an abundant number, since it is smaller than the sum of its proper divisors (7900463256).

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

3453648744 is a wasteful number, since it uses less digits than its factorization.

3453648744 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1848 (or 1844 counting only the distinct ones).

The product of its digits is 3870720, while the sum is 48.

The square root of 3453648744 is about 58767.7525859208. The cubic root of 3453648744 is about 1511.5623120735.

The spelling of 3453648744 in words is "three billion, four hundred fifty-three million, six hundred forty-eight thousand, seven hundred forty-four".