3482496972 has 72 divisors (see below), whose sum is σ = 9158868992. Its totient is φ = 1114495200.

The previous prime is 3482496967. The next prime is 3482496973. The reversal of 3482496972 is 2796942843.

3482496972 is a `hidden beast` number, since 3 + 4 + 82 + 496 + 9 + 72 = 666.

It is not an unprimeable number, because it can be changed into a prime (3482496973) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 129447 + ... + 154017.

Almost surely, 2^3482496972 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 3482496972, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4579434496).

3482496972 is an abundant number, since it is smaller than the sum of its proper divisors (5676372020).

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

3482496972 is a wasteful number, since it uses less digits than its factorization.

3482496972 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24739 (or 24734 counting only the distinct ones).

The product of its digits is 5225472, while the sum is 54.

The square root of 3482496972 is about 59012.6848397868. The cubic root of 3482496972 is about 1515.7593265759.

The spelling of 3482496972 in words is "three billion, four hundred eighty-two million, four hundred ninety-six thousand, nine hundred seventy-two".