3532419968 has 128 divisors (see below), whose sum is σ = 8874489600. Its totient is φ = 1360465920.

The previous prime is 3532419967. The next prime is 3532419977. The reversal of 3532419968 is 8699142353.

It is a happy number.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3532419967) by changing a digit.

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, 875171 + ... + 879197.

It is an arithmetic number, because the mean of its divisors is an integer number (69331950).

Almost surely, 2^3532419968 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 3532419968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4437244800).

3532419968 is an abundant number, since it is smaller than the sum of its proper divisors (5342069632).

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

3532419968 is a wasteful number, since it uses less digits than its factorization.

3532419968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4148 (or 4136 counting only the distinct ones).

The product of its digits is 1399680, while the sum is 50.

The square root of 3532419968 is about 59434.1649895075. The cubic root of 3532419968 is about 1522.9679958475.

The spelling of 3532419968 in words is "three billion, five hundred thirty-two million, four hundred nineteen thousand, nine hundred sixty-eight".