3530821632 has 312 divisors, whose sum is σ = 10931643072. Its totient is φ = 1005649920.

The previous prime is 3530821621. The next prime is 3530821643. The reversal of 3530821632 is 2361280353.

It is an interprime number because it is at equal distance from previous prime (3530821621) and next prime (3530821643).

It is a tau number, because it is divible by the number of its divisors (312).

It is a junction number, because it is equal to n+sod(n) for n = 3530821593 and 3530821602.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 113897457 + ... + 113897487.

Almost surely, 2^3530821632 is an apocalyptic number.

3530821632 is a gapful number since it is divisible by the number (32) 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 3530821632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5465821536).

3530821632 is an abundant number, since it is smaller than the sum of its proper divisors (7400821440).

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

3530821632 is a wasteful number, since it uses less digits than its factorization.

3530821632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 125 (or 72 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 33.

The square root of 3530821632 is about 59420.7171952678. The cubic root of 3530821632 is about 1522.7382589315.

The spelling of 3530821632 in words is "three billion, five hundred thirty million, eight hundred twenty-one thousand, six hundred thirty-two".