3458346240 has 144 divisors (see below), whose sum is σ = 11525609088. Its totient is φ = 882106368.

The previous prime is 3458346239. The next prime is 3458346259. The reversal of 3458346240 is 426438543.

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 68742 + ... + 107898.

It is an arithmetic number, because the mean of its divisors is an integer number (80038952).

Almost surely, 2^3458346240 is an apocalyptic number.

3458346240 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3458346240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5762804544).

3458346240 is an abundant number, since it is smaller than the sum of its proper divisors (8067262848).

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

3458346240 is a wasteful number, since it uses less digits than its factorization.

3458346240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39204 (or 39190 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 39.

The square root of 3458346240 is about 58807.7056175464. The cubic root of 3458346240 is about 1512.2473210390.

The spelling of 3458346240 in words is "three billion, four hundred fifty-eight million, three hundred forty-six thousand, two hundred forty".