3428928948480 has 288 divisors, whose sum is σ = 12540522000384. Its totient is φ = 782193942528.

The previous prime is 3428928948479. The next prime is 3428928948493. The reversal of 3428928948480 is 848498298243.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 13393837 + ... + 13647443.

It is an arithmetic number, because the mean of its divisors is an integer number (43543479168).

Almost surely, 2^{3428928948480} is an apocalyptic number.

3428928948480 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 3428928948480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6270261000192).

3428928948480 is an abundant number, since it is smaller than the sum of its proper divisors (9111593051904).

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

3428928948480 is a wasteful number, since it uses less digits than its factorization.

3428928948480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 254141 (or 254127 counting only the distinct ones).

The product of its (nonzero) digits is 254803968, while the sum is 69.

The spelling of 3428928948480 in words is "three trillion, four hundred twenty-eight billion, nine hundred twenty-eight million, nine hundred forty-eight thousand, four hundred eighty".