3285007626681 has 45 divisors (see below), whose sum is σ = 5220525277695. Its totient is φ = 1990514972160.

The previous prime is 3285007626647. The next prime is 3285007626709. The reversal of 3285007626681 is 1866267005823.

The square root of 3285007626681 is 1812459.

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

3285007626681 is a `hidden beast` number, since 3 + 2 + 8 + 5 + 0 + 0 + 7 + 626 + 6 + 8 + 1 = 666.

It can be written as a sum of positive squares in only one way, i.e., 1142835831225 + 2142171795456 = 1069035^2 + 1463616^2 .

It is not a de Polignac number, because 3285007626681 - 2⁹ = 3285007626169 is a prime.

It is a super-2 number, since 2×3285007626681² (a number of 26 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (3285007626601) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 657920121 + ... + 657925113.

Almost surely, 2^{3285007626681} is an apocalyptic number.

3285007626681 is the 1812459-th square number.

3285007626681 is the 906230-th centered octagonal number.

It is an amenable number.

3285007626681 is a deficient number, since it is larger than the sum of its proper divisors (1935517651014).

3285007626681 is an frugal number, since it uses more digits than its factorization.

3285007626681 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10036 (or 5007 counting only the distinct ones).

The product of its (nonzero) digits is 5806080, while the sum is 54.

The spelling of 3285007626681 in words is "three trillion, two hundred eighty-five billion, seven million, six hundred twenty-six thousand, six hundred eighty-one".