3521947968 has 252 divisors, whose sum is σ = 12683114080. Its totient is φ = 914664960.

The previous prime is 3521947943. The next prime is 3521947991. The reversal of 3521947968 is 8697491253.

It is a tau number, because it is divible by the number of its divisors (252).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 484263 + ... + 491481.

Almost surely, 2^3521947968 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 3521947968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6341557040).

3521947968 is an abundant number, since it is smaller than the sum of its proper divisors (9161166112).

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

3521947968 is a wasteful number, since it uses less digits than its factorization.

3521947968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7266 (or 7242 counting only the distinct ones).

The product of its digits is 3265920, while the sum is 54.

The square root of 3521947968 is about 59346.0021231422. The cubic root of 3521947968 is about 1521.4615397434.

The spelling of 3521947968 in words is "three billion, five hundred twenty-one million, nine hundred forty-seven thousand, nine hundred sixty-eight".