3459126048 has 192 divisors, whose sum is σ = 10697121792. Its totient is φ = 958187520.

The previous prime is 3459126043. The next prime is 3459126071. The reversal of 3459126048 is 8406219543.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is not an unprimeable number, because it can be changed into a prime (3459126043) 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 31 ways as a sum of consecutive naturals, for example, 6143815 + ... + 6144377.

It is an arithmetic number, because the mean of its divisors is an integer number (55714176).

Almost surely, 2^3459126048 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 3459126048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5348560896).

3459126048 is an abundant number, since it is smaller than the sum of its proper divisors (7237995744).

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

3459126048 is a wasteful number, since it uses less digits than its factorization.

3459126048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 847 (or 839 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 42.

The square root of 3459126048 is about 58814.3353953779. The cubic root of 3459126048 is about 1512.3609759338.

The spelling of 3459126048 in words is "three billion, four hundred fifty-nine million, one hundred twenty-six thousand, forty-eight".