3482277120 has 648 divisors, whose sum is σ = 14540198400. Its totient is φ = 766402560.

The previous prime is 3482277061. The next prime is 3482277133. The reversal of 3482277120 is 217722843.

3482277120 is a `hidden beast` number, since 348 + 227 + 71 + 20 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 17498781 + ... + 17498979.

Almost surely, 2^3482277120 is an apocalyptic number.

3482277120 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 3482277120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7270099200).

3482277120 is an abundant number, since it is smaller than the sum of its proper divisors (11057921280).

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

3482277120 is a wasteful number, since it uses less digits than its factorization.

3482277120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 271 (or 247 counting only the distinct ones).

The product of its (nonzero) digits is 37632, while the sum is 36.

The square root of 3482277120 is about 59010.8220583310. The cubic root of 3482277120 is about 1515.7274289906.

Adding to 3482277120 its reverse (217722843), we get a palindrome (3699999963).

The spelling of 3482277120 in words is "three billion, four hundred eighty-two million, two hundred seventy-seven thousand, one hundred twenty".