3982580007 has 24 divisors (see below), whose sum is σ = 6293623536. Its totient is φ = 2232816768.

The previous prime is 3982580003. The next prime is 3982580009. The reversal of 3982580007 is 7000852893.

It is not a de Polignac number, because 3982580007 - 2² = 3982580003 is a prime.

It is a super-2 number, since 2×3982580007² = 31721887024312240098, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3982580003) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 247798 + ... + 263379.

It is an arithmetic number, because the mean of its divisors is an integer number (262234314).

Almost surely, 2^3982580007 is an apocalyptic number.

3982580007 is a deficient number, since it is larger than the sum of its proper divisors (2311043529).

3982580007 is a wasteful number, since it uses less digits than its factorization.

3982580007 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 511247 (or 511240 counting only the distinct ones).

The product of its (nonzero) digits is 120960, while the sum is 42.

The square root of 3982580007 is about 63107.6857997503. The cubic root of 3982580007 is about 1585.0933223985.

The spelling of 3982580007 in words is "three billion, nine hundred eighty-two million, five hundred eighty thousand, seven".