3472323120 has 320 divisors, whose sum is σ = 14141952000. Its totient is φ = 766209024.

The previous prime is 3472323077. The next prime is 3472323121. The reversal of 3472323120 is 213232743.

3472323120 is a `hidden beast` number, since 347 + 2 + 3 + 2 + 312 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (3472323121) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 434521 + ... + 442439.

It is an arithmetic number, because the mean of its divisors is an integer number (44193600).

Almost surely, 2^3472323120 is an apocalyptic number.

3472323120 is a gapful number since it is divisible by the number (30) 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 3472323120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7070976000).

3472323120 is an abundant number, since it is smaller than the sum of its proper divisors (10669628880).

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

3472323120 is a wasteful number, since it uses less digits than its factorization.

3472323120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7977 (or 7965 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 27.

The square root of 3472323120 is about 58926.4212386939. The cubic root of 3472323120 is about 1514.2818280258.

Adding to 3472323120 its reverse (213232743), we get a palindrome (3685555863).

The spelling of 3472323120 in words is "three billion, four hundred seventy-two million, three hundred twenty-three thousand, one hundred twenty".