3428313126 has 256 divisors, whose sum is σ = 9123840000. Its totient is φ = 853493760.

The previous prime is 3428313061. The next prime is 3428313191. The reversal of 3428313126 is 6213138243.

3428313126 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (3428313061) and next prime (3428313191).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 31452360 + ... + 31452468.

It is an arithmetic number, because the mean of its divisors is an integer number (35640000).

Almost surely, 2^3428313126 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3428313126, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4561920000).

3428313126 is an abundant number, since it is smaller than the sum of its proper divisors (5695526874).

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

3428313126 is a wasteful number, since it uses less digits than its factorization.

3428313126 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 212 (or 198 counting only the distinct ones).

The product of its digits is 20736, while the sum is 33.

The square root of 3428313126 is about 58551.7986572573. The cubic root of 3428313126 is about 1507.8570139201.

The spelling of 3428313126 in words is "three billion, four hundred twenty-eight million, three hundred thirteen thousand, one hundred twenty-six".