3482789600 has 72 divisors (see below), whose sum is σ = 8510783400. Its totient is φ = 1391736320.

The previous prime is 3482789587. The next prime is 3482789627. The reversal of 3482789600 is 69872843.

It is a congruent number.

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 11 ways as a sum of consecutive naturals, for example, 1289051 + ... + 1291749.

It is an arithmetic number, because the mean of its divisors is an integer number (118205325).

Almost surely, 2^3482789600 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 3482789600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4255391700).

3482789600 is an abundant number, since it is smaller than the sum of its proper divisors (5027993800).

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

3482789600 is a wasteful number, since it uses less digits than its factorization.

3482789600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4332 (or 4319 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 47.

The square root of 3482789600 is about 59015.1641529531. The cubic root of 3482789600 is about 1515.8017809030.

The spelling of 3482789600 in words is "three billion, four hundred eighty-two million, seven hundred eighty-nine thousand, six hundred".