4688003961 has 27 divisors (see below), whose sum is σ = 7022037711. Its totient is φ = 3013731504.

The previous prime is 4688003939. The next prime is 4688003987. The reversal of 4688003961 is 1693008864.

The square root of 4688003961 is 68469.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 2458275561 + 2229728400 = 49581^2 + 47220^2 .

It is not a de Polignac number, because 4688003961 - 2³¹ = 2540520313 is a prime.

It is a super-2 number, since 2×4688003961² = 43954762276703379042, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (4688003161) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 5956410 + ... + 5957196.

Almost surely, 2^4688003961 is an apocalyptic number.

4688003961 is the 68469-th square number.

4688003961 is the 34235-th centered octagonal number.

It is an amenable number.

4688003961 is a deficient number, since it is larger than the sum of its proper divisors (2334033750).

4688003961 is an frugal number, since it uses more digits than its factorization.

4688003961 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1638 (or 819 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 45.

The cubic root of 4688003961 is about 1673.6423496071.

The spelling of 4688003961 in words is "four billion, six hundred eighty-eight million, three thousand, nine hundred sixty-one".