3315522751968 has 288 divisors, whose sum is σ = 10858129107840. Its totient is φ = 880500741120.

The previous prime is 3315522751909. The next prime is 3315522751993. The reversal of 3315522751968 is 8691572255133.

It is a super-3 number, since 3×3315522751968³ (a number of 39 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 (57).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4386963 + ... + 5086893.

It is an arithmetic number, because the mean of its divisors is an integer number (37701837180).

Almost surely, 2^{3315522751968} is an apocalyptic number.

3315522751968 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 3315522751968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5429064553920).

3315522751968 is an abundant number, since it is smaller than the sum of its proper divisors (7542606355872).

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

3315522751968 is a wasteful number, since it uses less digits than its factorization.

3315522751968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 700030 (or 700015 counting only the distinct ones).

The product of its digits is 13608000, while the sum is 57.

The spelling of 3315522751968 in words is "three trillion, three hundred fifteen billion, five hundred twenty-two million, seven hundred fifty-one thousand, nine hundred sixty-eight".