3213830656656 has 45 divisors (see below), whose sum is σ = 8994322390729. Its totient is φ = 1071269714688.

The previous prime is 3213830656639. The next prime is 3213830656717. The reversal of 3213830656656 is 6566560383123.

The square root of 3213830656656 is 1792716.

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

3213830656656 is a `hidden beast` number, since 3 + 21 + 3 + 8 + 3 + 0 + 6 + 566 + 56 = 666.

It can be written as a sum of positive squares in only one way, i.e., 2985361952400 + 228468704256 = 1727820^2 + 477984^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 21437896 + ... + 21587288.

Almost surely, 2^{3213830656656} is an apocalyptic number.

3213830656656 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

3213830656656 is the 1792716-th square number.

It is an amenable number.

3213830656656 is an abundant number, since it is smaller than the sum of its proper divisors (5780491734073).

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

3213830656656 is an frugal number, since it uses more digits than its factorization.

3213830656656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 298800 (or 149398 counting only the distinct ones).

The product of its (nonzero) digits is 13996800, while the sum is 54.

The spelling of 3213830656656 in words is "three trillion, two hundred thirteen billion, eight hundred thirty million, six hundred fifty-six thousand, six hundred fifty-six".