3499528032 has 576 divisors, whose sum is σ = 13649126400. Its totient is φ = 821145600.

The previous prime is 3499528027. The next prime is 3499528033. The reversal of 3499528032 is 2308259943.

It is a happy number.

3499528032 is a `hidden beast` number, since 3 + 4 + 99 + 528 + 0 + 32 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3499528033) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 17585469 + ... + 17585667.

It is an arithmetic number, because the mean of its divisors is an integer number (23696400).

Almost surely, 2^3499528032 is an apocalyptic number.

3499528032 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 3499528032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6824563200).

3499528032 is an abundant number, since it is smaller than the sum of its proper divisors (10149598368).

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

3499528032 is a wasteful number, since it uses less digits than its factorization.

3499528032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 307 (or 296 counting only the distinct ones).

The product of its (nonzero) digits is 466560, while the sum is 45.

The square root of 3499528032 is about 59156.8088388818. The cubic root of 3499528032 is about 1518.2262365450.

The spelling of 3499528032 in words is "three billion, four hundred ninety-nine million, five hundred twenty-eight thousand, thirty-two".