3428239036320 has 960 divisors, whose sum is σ = 14036662886400. Its totient is φ = 771823116288.

The previous prime is 3428239036319. The next prime is 3428239036351. The reversal of 3428239036320 is 236309328243.

3428239036320 is a `hidden beast` number, since 3 + 4 + 2 + 8 + 2 + 3 + 9 + 0 + 3 + 632 + 0 = 666.

3428239036320 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 1716693562 + ... + 1716695558.

It is an arithmetic number, because the mean of its divisors is an integer number (14621523840).

Almost surely, 2^{3428239036320} is an apocalyptic number.

3428239036320 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 3428239036320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7018331443200).

3428239036320 is an abundant number, since it is smaller than the sum of its proper divisors (10608423850080).

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

3428239036320 is a wasteful number, since it uses less digits than its factorization.

3428239036320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2307 (or 2290 counting only the distinct ones).

The product of its (nonzero) digits is 1119744, while the sum is 45.

The spelling of 3428239036320 in words is "three trillion, four hundred twenty-eight billion, two hundred thirty-nine million, thirty-six thousand, three hundred twenty".