3352535763456 has 480 divisors, whose sum is σ = 10112993352000. Its totient is φ = 985472040960.

The previous prime is 3352535763361. The next prime is 3352535763457. The reversal of 3352535763456 is 6543675352533.

It is a super-2 number, since 2×3352535763456² (a number of 26 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 3352535763396 and 3352535763405.

It is not an unprimeable number, because it can be changed into a prime (3352535763457) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3431458840 + ... + 3431459816.

It is an arithmetic number, because the mean of its divisors is an integer number (21068736150).

Almost surely, 2^{3352535763456} 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 3352535763456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5056496676000).

3352535763456 is an abundant number, since it is smaller than the sum of its proper divisors (6760457588544).

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

3352535763456 is a wasteful number, since it uses less digits than its factorization.

3352535763456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1556 (or 1529 counting only the distinct ones).

The product of its digits is 102060000, while the sum is 57.

The spelling of 3352535763456 in words is "three trillion, three hundred fifty-two billion, five hundred thirty-five million, seven hundred sixty-three thousand, four hundred fifty-six".