3482649216 has 64 divisors (see below), whose sum is σ = 10278662400. Its totient is φ = 1160881920.

The previous prime is 3482649211. The next prime is 3482649217. The reversal of 3482649216 is 6129462843.

It is a tau number, because it is divible by the number of its divisors (64).

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

It is not an unprimeable number, because it can be changed into a prime (3482649211) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 500400 + ... + 507311.

It is an arithmetic number, because the mean of its divisors is an integer number (160604100).

Almost surely, 2^3482649216 is an apocalyptic number.

3482649216 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

3482649216 is an abundant number, since it is smaller than the sum of its proper divisors (6796013184).

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

3482649216 is a wasteful number, since it uses less digits than its factorization.

3482649216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1007734 (or 1007716 counting only the distinct ones).

The product of its digits is 497664, while the sum is 45.

The square root of 3482649216 is about 59013.9747517484. The cubic root of 3482649216 is about 1515.7814143577.

The spelling of 3482649216 in words is "three billion, four hundred eighty-two million, six hundred forty-nine thousand, two hundred sixteen".