3422673313416 has 576 divisors, whose sum is σ = 11700093600000. Its totient is φ = 898472881152.

The previous prime is 3422673313379. The next prime is 3422673313447. The reversal of 3422673313416 is 6143133762243.

3422673313416 is a `hidden beast` number, since 3 + 4 + 226 + 7 + 3 + 3 + 1 + 3 + 416 = 666.

3422673313416 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×3422673313416² (a number of 26 digits) contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 468278370 + ... + 468285678.

It is an arithmetic number, because the mean of its divisors is an integer number (20312662500).

Almost surely, 2^{3422673313416} is an apocalyptic number.

3422673313416 is a gapful number since it is divisible by the number (36) 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 3422673313416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5850046800000).

3422673313416 is an abundant number, since it is smaller than the sum of its proper divisors (8277420286584).

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

3422673313416 is a wasteful number, since it uses less digits than its factorization.

3422673313416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7586 (or 7572 counting only the distinct ones).

The product of its digits is 1306368, while the sum is 45.

The spelling of 3422673313416 in words is "three trillion, four hundred twenty-two billion, six hundred seventy-three million, three hundred thirteen thousand, four hundred sixteen".