3531523968 has 512 divisors, whose sum is σ = 13066444800. Its totient is φ = 915701760.

The previous prime is 3531523967. The next prime is 3531523991. The reversal of 3531523968 is 8693251353.

It is a happy number.

3531523968 is a `hidden beast` number, since 3 + 5 + 31 + 523 + 96 + 8 = 666.

3531523968 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3531523967) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 12749046 + ... + 12749322.

It is an arithmetic number, because the mean of its divisors is an integer number (25520400).

Almost surely, 2^3531523968 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 3531523968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6533222400).

3531523968 is an abundant number, since it is smaller than the sum of its proper divisors (9534920832).

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

3531523968 is a wasteful number, since it uses less digits than its factorization.

3531523968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 355 (or 337 counting only the distinct ones).

The product of its digits is 583200, while the sum is 45.

The square root of 3531523968 is about 59426.6267593913. The cubic root of 3531523968 is about 1522.8392177739.

The spelling of 3531523968 in words is "three billion, five hundred thirty-one million, five hundred twenty-three thousand, nine hundred sixty-eight".