3422166384 has 320 divisors, whose sum is σ = 11377049600. Its totient is φ = 862202880.

The previous prime is 3422166383. The next prime is 3422166413. The reversal of 3422166384 is 4836612243.

It is a super-3 number, since 3×3422166384³ (a number of 30 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (39).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3422166383) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 17196717 + ... + 17196915.

It is an arithmetic number, because the mean of its divisors is an integer number (35553280).

Almost surely, 2^3422166384 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 3422166384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5688524800).

3422166384 is an abundant number, since it is smaller than the sum of its proper divisors (7954883216).

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

3422166384 is a wasteful number, since it uses less digits than its factorization.

3422166384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 388 (or 382 counting only the distinct ones).

The product of its digits is 165888, while the sum is 39.

The square root of 3422166384 is about 58499.2853289679. The cubic root of 3422166384 is about 1506.9553116895.

The spelling of 3422166384 in words is "three billion, four hundred twenty-two million, one hundred sixty-six thousand, three hundred eighty-four".