3981513672 has 24 divisors (see below), whose sum is σ = 10783266390. Its totient is φ = 1327171200.

The previous prime is 3981513671. The next prime is 3981513677. The reversal of 3981513672 is 2763151893.

It can be written as a sum of positive squares in only one way, i.e., 3908000196 + 73513476 = 62514^2 + 8574^2 .

It is a tau number, because it is divible by the number of its divisors (24).

It is a super-2 number, since 2×3981513672² = 31704902240645847168, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (3981513671) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 27649329 + ... + 27649472.

Almost surely, 2^3981513672 is an apocalyptic number.

It is an amenable number.

3981513672 is an abundant number, since it is smaller than the sum of its proper divisors (6801752718).

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

3981513672 is a wasteful number, since it uses less digits than its factorization.

3981513672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 55298813 (or 55298806 counting only the distinct ones).

The product of its digits is 272160, while the sum is 45.

The square root of 3981513672 is about 63099.2366990283. The cubic root of 3981513672 is about 1584.9518402972.

It can be divided in two parts, 3981 and 513672, that added together give a triangular number (517653 = T₁₀₁₇).

The spelling of 3981513672 in words is "three billion, nine hundred eighty-one million, five hundred thirteen thousand, six hundred seventy-two".