3483832576 has 243 divisors, whose sum is σ = 8879395077. Its totient is φ = 1359912960.

The previous prime is 3483832529. The next prime is 3483832577. The reversal of 3483832576 is 6752383843.

The square root of 3483832576 is 59024.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 2712326400 + 771506176 = 52080^2 + 27776^2 .

It is a Harshad number since it is a multiple of its sum of digits (49).

Its product of digits (2903040) is a multiple of the sum of its prime factors (126).

It is not an unprimeable number, because it can be changed into a prime (3483832577) 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 26 ways as a sum of consecutive naturals, for example, 112381681 + ... + 112381711.

Almost surely, 2^3483832576 is an apocalyptic number.

3483832576 is the 59024-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3483832576

3483832576 is an abundant number, since it is smaller than the sum of its proper divisors (5395562501).

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

3483832576 is an equidigital number, since it uses as much as digits as its factorization.

3483832576 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 126 (or 57 counting only the distinct ones).

The product of its digits is 2903040, while the sum is 49.

The cubic root of 3483832576 is about 1515.9530760116.

Multiplying 3483832576 by its sum of digits (49), we get a square (170707796224 = 413168²).

3483832576 divided by its sum of digits (49) gives a square (71098624 = 8432²).

The spelling of 3483832576 in words is "three billion, four hundred eighty-three million, eight hundred thirty-two thousand, five hundred seventy-six".