3428720160960 has 448 divisors, whose sum is σ = 11839317626880. Its totient is φ = 837515427840.

The previous prime is 3428720160953. The next prime is 3428720160973. The reversal of 3428720160960 is 690610278243.

It is a super-2 number, since 2×3428720160960² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 903005782 + ... + 903009578.

Almost surely, 2^{3428720160960} is an apocalyptic number.

3428720160960 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 3428720160960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5919658813440).

3428720160960 is an abundant number, since it is smaller than the sum of its proper divisors (8410597465920).

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

3428720160960 is a wasteful number, since it uses less digits than its factorization.

3428720160960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5464 (or 5454 counting only the distinct ones).

The product of its (nonzero) digits is 870912, while the sum is 48.

The spelling of 3428720160960 in words is "three trillion, four hundred twenty-eight billion, seven hundred twenty million, one hundred sixty thousand, nine hundred sixty".