3523661568 has 288 divisors, whose sum is σ = 12538713600. Its totient is φ = 953524224.

The previous prime is 3523661551. The next prime is 3523661599. The reversal of 3523661568 is 8651663253.

3523661568 is a `hidden beast` number, since 3 + 5 + 23 + 6 + 61 + 568 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 917380 + ... + 921212.

It is an arithmetic number, because the mean of its divisors is an integer number (43537200).

Almost surely, 2^3523661568 is an apocalyptic number.

3523661568 is a gapful number since it is divisible by the number (38) 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 3523661568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6269356800).

3523661568 is an abundant number, since it is smaller than the sum of its proper divisors (9015052032).

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

3523661568 is a wasteful number, since it uses less digits than its factorization.

3523661568 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3884 (or 3864 counting only the distinct ones).

The product of its digits is 777600, while the sum is 45.

The square root of 3523661568 is about 59360.4377342351. The cubic root of 3523661568 is about 1521.7082548939.

The spelling of 3523661568 in words is "three billion, five hundred twenty-three million, six hundred sixty-one thousand, five hundred sixty-eight".