3430981948681 has 45 divisors (see below), whose sum is σ = 4218625968471. Its totient is φ = 2782259628624.

The previous prime is 3430981948657. The next prime is 3430981948717. The reversal of 3430981948681 is 1868491890343.

The square root of 3430981948681 is 1852291.

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

3430981948681 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 3356498805625 + 74483143056 = 1832075^2 + 272916^2 .

It is not a de Polignac number, because 3430981948681 - 2⁵ = 3430981948649 is a prime.

It is a super-2 number, since 2×3430981948681² (a number of 26 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (3430981948631) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 4680738991 + ... + 4680739723.

Almost surely, 2^{3430981948681} is an apocalyptic number.

3430981948681 is the 1852291-st square number.

3430981948681 is the 926146-th centered octagonal number.

It is an amenable number.

3430981948681 is a deficient number, since it is larger than the sum of its proper divisors (787644019790).

3430981948681 is an frugal number, since it uses more digits than its factorization.

3430981948681 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1556 (or 759 counting only the distinct ones).

The product of its (nonzero) digits is 35831808, while the sum is 64.

Multiplying 3430981948681 by its sum of digits (64), we get a square (219582844715584 = 14818328²).

The spelling of 3430981948681 in words is "three trillion, four hundred thirty billion, nine hundred eighty-one million, nine hundred forty-eight thousand, six hundred eighty-one".