3424128512 has 80 divisors (see below), whose sum is σ = 7838471520. Its totient is φ = 1463820288.

The previous prime is 3424128509. The next prime is 3424128523. The reversal of 3424128512 is 2158214243.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a zygodrome in base 2.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1823318 + ... + 1825194.

It is an arithmetic number, because the mean of its divisors is an integer number (97980894).

Almost surely, 2^3424128512 is an apocalyptic number.

3424128512 is a gapful number since it is divisible by the number (32) 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 3424128512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3919235760).

3424128512 is an abundant number, since it is smaller than the sum of its proper divisors (4414343008).

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

3424128512 is an equidigital number, since it uses as much as digits as its factorization.

3424128512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2411 (or 2395 counting only the distinct ones).

The product of its digits is 15360, while the sum is 32.

The square root of 3424128512 is about 58516.0534554408. The cubic root of 3424128512 is about 1507.2432651816.

The spelling of 3424128512 in words is "three billion, four hundred twenty-four million, one hundred twenty-eight thousand, five hundred twelve".