3382226777664 has 280 divisors, whose sum is σ = 11479508956608. Its totient is φ = 964558679040.

The previous prime is 3382226777623. The next prime is 3382226777689. The reversal of 3382226777664 is 4667776222833.

It is a happy number.

3382226777664 is a `hidden beast` number, since 338 + 2 + 226 + 7 + 7 + 76 + 6 + 4 = 666.

3382226777664 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 2×3382226777664² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

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 39 ways as a sum of consecutive naturals, for example, 19545667 + ... + 19717949.

Almost surely, 2^{3382226777664} 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 3382226777664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5739754478304).

3382226777664 is an abundant number, since it is smaller than the sum of its proper divisors (8097282178944).

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

3382226777664 is a wasteful number, since it uses less digits than its factorization.

3382226777664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 172855 (or 172836 counting only the distinct ones).

The product of its digits is 170698752, while the sum is 63.

The spelling of 3382226777664 in words is "three trillion, three hundred eighty-two billion, two hundred twenty-six million, seven hundred seventy-seven thousand, six hundred sixty-four".