3421028919168 has 1280 divisors, whose sum is σ = 12284338176000. Its totient is φ = 924950347776.

The previous prime is 3421028919163. The next prime is 3421028919211. The reversal of 3421028919168 is 8619198201243.

It is a happy number.

3421028919168 is a `hidden beast` number, since 3 + 4 + 210 + 289 + 1 + 91 + 68 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3421028919163) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 22959925558 + ... + 22959925706.

It is an arithmetic number, because the mean of its divisors is an integer number (9597139200).

Almost surely, 2^{3421028919168} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3421028919168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6142169088000).

3421028919168 is an abundant number, since it is smaller than the sum of its proper divisors (8863309256832).

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

3421028919168 is a wasteful number, since it uses less digits than its factorization.

3421028919168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 409 (or 388 counting only the distinct ones).

The product of its (nonzero) digits is 1492992, while the sum is 54.

The spelling of 3421028919168 in words is "three trillion, four hundred twenty-one billion, twenty-eight million, nine hundred nineteen thousand, one hundred sixty-eight".