3452840468352 has 1152 divisors, whose sum is σ = 11997943326720. Its totient is φ = 942452121600.

The previous prime is 3452840468333. The next prime is 3452840468369. The reversal of 3452840468352 is 2538640482543.

3452840468352 is a `hidden beast` number, since 3 + 4 + 5 + 284 + 0 + 4 + 6 + 8 + 352 = 666.

3452840468352 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 19958615338 + ... + 19958615510.

It is an arithmetic number, because the mean of its divisors is an integer number (10414881360).

Almost surely, 2^{3452840468352} is an apocalyptic number.

3452840468352 is a gapful number since it is divisible by the number (32) 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 3452840468352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5998971663360).

3452840468352 is an abundant number, since it is smaller than the sum of its proper divisors (8545102858368).

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

3452840468352 is a wasteful number, since it uses less digits than its factorization.

3452840468352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 352 (or 290 counting only the distinct ones).

The product of its (nonzero) digits is 22118400, while the sum is 54.

The spelling of 3452840468352 in words is "three trillion, four hundred fifty-two billion, eight hundred forty million, four hundred sixty-eight thousand, three hundred fifty-two".