3458354240 has 84 divisors (see below), whose sum is σ = 9052022028. Its totient is φ = 1257569280.

The previous prime is 3458354227. The next prime is 3458354261. The reversal of 3458354240 is 424538543.

It can be written as a sum of positive squares in 2 ways, for example, as 1340145664 + 2118208576 = 36608^2 + 46024^2 .

It is a junction number, because it is equal to n+sod(n) for n = 3458354194 and 3458354203.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5939 + ... + 83378.

It is an arithmetic number, because the mean of its divisors is an integer number (107762167).

Almost surely, 2^3458354240 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 3458354240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4526011014).

3458354240 is an abundant number, since it is smaller than the sum of its proper divisors (5593667788).

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

3458354240 is a wasteful number, since it uses less digits than its factorization.

3458354240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 89356 (or 89335 counting only the distinct ones).

The product of its (nonzero) digits is 230400, while the sum is 38.

The square root of 3458354240 is about 58807.7736358043. The cubic root of 3458354240 is about 1512.2484871040.

The spelling of 3458354240 in words is "three billion, four hundred fifty-eight million, three hundred fifty-four thousand, two hundred forty".