3528320832 has 168 divisors, whose sum is σ = 10508284800. Its totient is φ = 1131573504.

The previous prime is 3528320821. The next prime is 3528320849. The reversal of 3528320832 is 2380238253.

It is a happy number.

It is a super-4 number, since 4×3528320832⁴ (a number of 39 digits) contains 4444 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

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, 59802019 + ... + 59802077.

Almost surely, 2^3528320832 is an apocalyptic number.

3528320832 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 3528320832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5254142400).

3528320832 is an abundant number, since it is smaller than the sum of its proper divisors (6979963968).

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

3528320832 is an frugal number, since it uses more digits than its factorization.

3528320832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 218 (or 111 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The square root of 3528320832 is about 59399.6703021153. The cubic root of 3528320832 is about 1522.3786671571.

The spelling of 3528320832 in words is "three billion, five hundred twenty-eight million, three hundred twenty thousand, eight hundred thirty-two".