3525289475808 has 96 divisors (see below), whose sum is σ = 9388205793792. Its totient is φ = 1158053926400.

The previous prime is 3525289475767. The next prime is 3525289475809. The reversal of 3525289475808 is 8085749825253.

3525289475808 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 (96).

It is a super-3 number, since 3×3525289475808³ (a number of 39 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3525289475809) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 16120285 + ... + 16337507.

It is an arithmetic number, because the mean of its divisors is an integer number (97793810352).

Almost surely, 2^{3525289475808} 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 3525289475808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4694102896896).

3525289475808 is an abundant number, since it is smaller than the sum of its proper divisors (5862916317984).

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

3525289475808 is a wasteful number, since it uses less digits than its factorization.

3525289475808 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 219688 (or 219680 counting only the distinct ones).

The product of its (nonzero) digits is 193536000, while the sum is 66.

The spelling of 3525289475808 in words is "three trillion, five hundred twenty-five billion, two hundred eighty-nine million, four hundred seventy-five thousand, eight hundred eight".