3531135104 has 128 divisors (see below), whose sum is σ = 8737075200. Its totient is φ = 1387238400.

The previous prime is 3531135089. The next prime is 3531135131. The reversal of 3531135104 is 4015311353.

It is a tau number, because it is divible by the number of its divisors (128).

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 524399 + ... + 531089.

It is an arithmetic number, because the mean of its divisors is an integer number (68258400).

Almost surely, 2^3531135104 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 3531135104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4368537600).

3531135104 is an abundant number, since it is smaller than the sum of its proper divisors (5205940096).

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

3531135104 is a wasteful number, since it uses less digits than its factorization.

3531135104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6762 (or 6750 counting only the distinct ones).

The product of its (nonzero) digits is 2700, while the sum is 26.

The square root of 3531135104 is about 59423.3548699499. The cubic root of 3531135104 is about 1522.7833213118.

Adding to 3531135104 its reverse (4015311353), we get a palindrome (7546446457).

The spelling of 3531135104 in words is "three billion, five hundred thirty-one million, one hundred thirty-five thousand, one hundred four".