3578252832 has 576 divisors, whose sum is σ = 13444704000. Its totient is φ = 894136320.

The previous prime is 3578252789. The next prime is 3578252851. The reversal of 3578252832 is 2382528753.

3578252832 is a `hidden beast` number, since 3 + 578 + 25 + 28 + 32 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 40205044 + ... + 40205132.

It is an arithmetic number, because the mean of its divisors is an integer number (23341500).

Almost surely, 2^3578252832 is an apocalyptic number.

3578252832 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 3578252832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6722352000).

3578252832 is an abundant number, since it is smaller than the sum of its proper divisors (9866451168).

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

3578252832 is a wasteful number, since it uses less digits than its factorization.

3578252832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 174 (or 149 counting only the distinct ones).

The product of its digits is 806400, while the sum is 45.

The square root of 3578252832 is about 59818.4990784623. The cubic root of 3578252832 is about 1529.5265073333.

The spelling of 3578252832 in words is "three billion, five hundred seventy-eight million, two hundred fifty-two thousand, eight hundred thirty-two".