3452938048560 has 960 divisors, whose sum is σ = 14682659249664. Its totient is φ = 659854540800.

The previous prime is 3452938048537. The next prime is 3452938048583. The reversal of 3452938048560 is 658408392543.

It is an interprime number because it is at equal distance from previous prime (3452938048537) and next prime (3452938048583).

It is a self number, because there is not a number n which added to its sum of digits gives 3452938048560.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 472548427 + ... + 472555733.

Almost surely, 2^{3452938048560} is an apocalyptic number.

3452938048560 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 3452938048560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7341329624832).

3452938048560 is an abundant number, since it is smaller than the sum of its proper divisors (11229721201104).

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

3452938048560 is a wasteful number, since it uses less digits than its factorization.

3452938048560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7642 (or 7629 counting only the distinct ones).

The product of its (nonzero) digits is 24883200, while the sum is 57.

The spelling of 3452938048560 in words is "three trillion, four hundred fifty-two billion, nine hundred thirty-eight million, forty-eight thousand, five hundred sixty".