3582738432 has 480 divisors, whose sum is σ = 13211654400. Its totient is φ = 934281216.

The previous prime is 3582738431. The next prime is 3582738469. The reversal of 3582738432 is 2348372853.

3582738432 is a `hidden beast` number, since 3 + 582 + 7 + 38 + 4 + 32 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3582738431) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 40255444 + ... + 40255532.

It is an arithmetic number, because the mean of its divisors is an integer number (27524280).

Almost surely, 2^3582738432 is an apocalyptic number.

3582738432 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 3582738432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6605827200).

3582738432 is an abundant number, since it is smaller than the sum of its proper divisors (9628915968).

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

3582738432 is an equidigital number, since it uses as much as digits as its factorization.

3582738432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 146 (or 114 counting only the distinct ones).

The product of its digits is 967680, while the sum is 45.

The square root of 3582738432 is about 59855.9807538060. The cubic root of 3582738432 is about 1530.1653646717.

The spelling of 3582738432 in words is "three billion, five hundred eighty-two million, seven hundred thirty-eight thousand, four hundred thirty-two".