3534570162432 has 864 divisors, whose sum is σ = 11440763792640. Its totient is φ = 1085517987840.

The previous prime is 3534570162421. The next prime is 3534570162439. The reversal of 3534570162432 is 2342610754353.

It is a happy number.

3534570162432 is a `hidden beast` number, since 3 + 5 + 3 + 4 + 57 + 0 + 162 + 432 = 666.

It is a tau number, because it is divible by the number of its divisors (864).

It is not an unprimeable number, because it can be changed into a prime (3534570162439) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 5220930478 + ... + 5220931154.

It is an arithmetic number, because the mean of its divisors is an integer number (13241624760).

Almost surely, 2^{3534570162432} is an apocalyptic number.

3534570162432 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 3534570162432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5720381896320).

3534570162432 is an abundant number, since it is smaller than the sum of its proper divisors (7906193630208).

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

3534570162432 is an equidigital number, since it uses as much as digits as its factorization.

3534570162432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 861 (or 835 counting only the distinct ones).

The product of its (nonzero) digits is 1814400, while the sum is 45.

The spelling of 3534570162432 in words is "three trillion, five hundred thirty-four billion, five hundred seventy million, one hundred sixty-two thousand, four hundred thirty-two".