3482826984 has 160 divisors (see below), whose sum is σ = 12006529920. Its totient is φ = 918532224.

The previous prime is 3482826961. The next prime is 3482827013. The reversal of 3482826984 is 4896282843.

3482826984 is a `hidden beast` number, since 3 + 482 + 82 + 6 + 9 + 84 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

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

It is a self number, because there is not a number n which added to its sum of digits gives 3482826984.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 29437 + ... + 88499.

It is an arithmetic number, because the mean of its divisors is an integer number (75040812).

Almost surely, 2^3482826984 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3482826984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6003264960).

3482826984 is an abundant number, since it is smaller than the sum of its proper divisors (8523702936).

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

3482826984 is a wasteful number, since it uses less digits than its factorization.

3482826984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 59101 (or 59088 counting only the distinct ones).

The product of its digits is 5308416, while the sum is 54.

The square root of 3482826984 is about 59015.4808842561. The cubic root of 3482826984 is about 1515.8072043842.

The spelling of 3482826984 in words is "three billion, four hundred eighty-two million, eight hundred twenty-six thousand, nine hundred eighty-four".