3483007680 has 56 divisors (see below), whose sum is σ = 11058552432. Its totient is φ = 928801792.

The previous prime is 3483007679. The next prime is 3483007733. The reversal of 3483007680 is 867003843.

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 7 ways as a sum of consecutive naturals, for example, 1813107 + ... + 1815026.

Almost surely, 2^3483007680 is an apocalyptic number.

3483007680 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3483007680 is an abundant number, since it is smaller than the sum of its proper divisors (7575544752).

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

3483007680 is a wasteful number, since it uses less digits than its factorization.

3483007680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3628153 (or 3628143 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 39.

The square root of 3483007680 is about 59017.0117847388. The cubic root of 3483007680 is about 1515.8334182963.

The spelling of 3483007680 in words is "three billion, four hundred eighty-three million, seven thousand, six hundred eighty".