3422583696000 has 1024 divisors, whose sum is σ = 13792368844800. Its totient is φ = 733357670400.

The previous prime is 3422583695977. The next prime is 3422583696001. The reversal of 3422583696000 is 6963852243.

It is a super-2 number, since 2×3422583696000² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (3422583696001) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 619245237 + ... + 619250763.

It is an arithmetic number, because the mean of its divisors is an integer number (13469110200).

Almost surely, 2^{3422583696000} is an apocalyptic number.

3422583696000 is a gapful number since it is divisible by the number (30) 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 3422583696000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6896184422400).

3422583696000 is an abundant number, since it is smaller than the sum of its proper divisors (10369785148800).

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

3422583696000 is a wasteful number, since it uses less digits than its factorization.

3422583696000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5682 (or 5660 counting only the distinct ones).

The product of its (nonzero) digits is 1866240, while the sum is 48.

The spelling of 3422583696000 in words is "three trillion, four hundred twenty-two billion, five hundred eighty-three million, six hundred ninety-six thousand".