3413831184 has 105 divisors (see below), whose sum is σ = 9935274909. Its totient is φ = 1135840320.

The previous prime is 3413831167. The next prime is 3413831249. The reversal of 3413831184 is 4811383143.

It is a happy number.

The square root of 3413831184 is 58428.

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., 1356301584 + 2057529600 = 36828^2 + 45360^2 .

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

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 20 ways as a sum of consecutive naturals, for example, 6309954 + ... + 6310494.

Almost surely, 2^3413831184 is an apocalyptic number.

3413831184 is the 58428-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3413831184

3413831184 is an abundant number, since it is smaller than the sum of its proper divisors (6521443725).

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

3413831184 is an frugal number, since it uses more digits than its factorization.

3413831184 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1108 (or 546 counting only the distinct ones).

The product of its digits is 27648, while the sum is 36.

The cubic root of 3413831184 is about 1505.7308450595.

Multiplying 3413831184 by its sum of digits (36), we get a square (122897922624 = 350568²).

3413831184 divided by its sum of digits (36) gives a square (94828644 = 9738²).

The spelling of 3413831184 in words is "three billion, four hundred thirteen million, eight hundred thirty-one thousand, one hundred eighty-four".