3322416384 has 162 divisors, whose sum is σ = 11143698930. Its totient is φ = 949229568.

The previous prime is 3322416373. The next prime is 3322416431. The reversal of 3322416384 is 4836142233.

3322416384 is a `hidden beast` number, since 3 + 32 + 241 + 6 + 384 = 666.

It can be written as a sum of positive squares in only one way, i.e., 3262694400 + 59721984 = 57120^2 + 7728^2 .

It is a super-3 number, since 3×3322416384³ (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 (36).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 98182 + ... + 127610.

It is an arithmetic number, because the mean of its divisors is an integer number (68788265).

Almost surely, 2^3322416384 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 3322416384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5571849465).

3322416384 is an abundant number, since it is smaller than the sum of its proper divisors (7821282546).

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

3322416384 is a wasteful number, since it uses less digits than its factorization.

3322416384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29465 (or 29441 counting only the distinct ones).

The product of its digits is 82944, while the sum is 36.

The square root of 3322416384 is about 57640.4058278566. The cubic root of 3322416384 is about 1492.1690230112.

The spelling of 3322416384 in words is "three billion, three hundred twenty-two million, four hundred sixteen thousand, three hundred eighty-four".