3428840130870 has 512 divisors, whose sum is σ = 10915801989120. Its totient is φ = 668251584000.

The previous prime is 3428840130869. The next prime is 3428840130871. The reversal of 3428840130870 is 780310488243.

3428840130870 is digitally balanced in base 2, because in such base 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 (3428840130869) and next prime (3428840130871).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3428840130871) by changing a digit.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 720493551 + ... + 720498309.

It is an arithmetic number, because the mean of its divisors is an integer number (21319925760).

Almost surely, 2^{3428840130870} is an apocalyptic number.

3428840130870 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 3428840130870, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5457900994560).

3428840130870 is an abundant number, since it is smaller than the sum of its proper divisors (7486961858250).

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

3428840130870 is a wasteful number, since it uses less digits than its factorization.

3428840130870 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5072.

The product of its (nonzero) digits is 1032192, while the sum is 48.

The spelling of 3428840130870 in words is "three trillion, four hundred twenty-eight billion, eight hundred forty million, one hundred thirty thousand, eight hundred seventy".