3531288096 has 288 divisors, whose sum is σ = 12065760000. Its totient is φ = 1001839104.

The previous prime is 3531288091. The next prime is 3531288133. The reversal of 3531288096 is 6908821353.

It is a happy number.

3531288096 is a `hidden beast` number, since 3 + 531 + 28 + 8 + 0 + 96 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is not an unprimeable number, because it can be changed into a prime (3531288091) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 10118130 + ... + 10118478.

It is an arithmetic number, because the mean of its divisors is an integer number (41895000).

Almost surely, 2^3531288096 is an apocalyptic number.

3531288096 is a gapful number since it is divisible by the number (36) 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 3531288096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6032880000).

3531288096 is an abundant number, since it is smaller than the sum of its proper divisors (8534471904).

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

3531288096 is a wasteful number, since it uses less digits than its factorization.

3531288096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 621 (or 600 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 45.

The square root of 3531288096 is about 59424.6421613122. The cubic root of 3531288096 is about 1522.8053133242.

The spelling of 3531288096 in words is "three billion, five hundred thirty-one million, two hundred eighty-eight thousand, ninety-six".