3458000000 has 448 divisors, whose sum is σ = 11156107200. Its totient is φ = 1036800000.

The previous prime is 3457999969. The next prime is 3458000003. The reversal of 3458000000 is 8543.

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 (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3458000003) by changing a digit.

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 55 ways as a sum of consecutive naturals, for example, 181999991 + ... + 182000009.

It is an arithmetic number, because the mean of its divisors is an integer number (24902025).

Almost surely, 2^3458000000 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 3458000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5578053600).

3458000000 is an abundant number, since it is smaller than the sum of its proper divisors (7698107200).

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

3458000000 is an frugal number, since it uses more digits than its factorization.

3458000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 83 (or 46 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 20.

The square root of 3458000000 is about 58804.7617119566. The cubic root of 3458000000 is about 1512.1968520238.

Adding to 3458000000 its reverse (8543), we get a palindrome (3458008543).

The spelling of 3458000000 in words is "three billion, four hundred fifty-eight million", and thus it is an aban number.