3287436770641 has 27 divisors (see below), whose sum is σ = 3395695882971. Its totient is φ = 3182607091248.

The previous prime is 3287436770581. The next prime is 3287436770677. The reversal of 3287436770641 is 1460776347823.

It is a happy number.

The square root of 3287436770641 is 1813129.

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

3287436770641 is digitally balanced in base 2, 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., 776035903041 + 2511400867600 = 880929^2 + 1584740^2 .

It is not a de Polignac number, because 3287436770641 - 2²¹ = 3287434673489 is a prime.

It is a super-3 number, since 3×3287436770641³ (a number of 39 digits) contains 333 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (3287436770141) 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, 8450994075 + ... + 8450994463.

Almost surely, 2^{3287436770641} is an apocalyptic number.

3287436770641 is the 1813129-th square number.

3287436770641 is the 906565-th centered octagonal number.

It is an amenable number.

3287436770641 is a deficient number, since it is larger than the sum of its proper divisors (108259112330).

3287436770641 is an frugal number, since it uses more digits than its factorization.

3287436770641 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1054 (or 527 counting only the distinct ones).

The product of its (nonzero) digits is 28449792, while the sum is 58.

The spelling of 3287436770641 in words is "three trillion, two hundred eighty-seven billion, four hundred thirty-six million, seven hundred seventy thousand, six hundred forty-one".