3422595359568 has 640 divisors, whose sum is σ = 11779177512960. Its totient is φ = 829543680000.

The previous prime is 3422595359567. The next prime is 3422595359581. The reversal of 3422595359568 is 8659535952243.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (66).

It is a junction number, because it is equal to n+sod(n) for n = 3422595359499 and 3422595359508.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3422595359567) 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, 1496542521 + ... + 1496544807.

It is an arithmetic number, because the mean of its divisors is an integer number (18404964864).

Almost surely, 2^{3422595359568} is an apocalyptic number.

3422595359568 is a gapful number since it is divisible by the number (38) 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 3422595359568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5889588756480).

3422595359568 is an abundant number, since it is smaller than the sum of its proper divisors (8356582153392).

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

3422595359568 is a wasteful number, since it uses less digits than its factorization.

3422595359568 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2647 (or 2641 counting only the distinct ones).

The product of its digits is 349920000, while the sum is 66.

The spelling of 3422595359568 in words is "three trillion, four hundred twenty-two billion, five hundred ninety-five million, three hundred fifty-nine thousand, five hundred sixty-eight".