3206812680 has 224 divisors, whose sum is σ = 11456170200. Its totient is φ = 804722688.

The previous prime is 3206812643. The next prime is 3206812699. The reversal of 3206812680 is 862186023.

It can be written as a sum of positive squares in 4 ways, for example, as 2202049476 + 1004763204 = 46926^2 + 31698^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 492486 + ... + 498954.

Almost surely, 2^3206812680 is an apocalyptic number.

3206812680 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3206812680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5728085100).

3206812680 is an abundant number, since it is smaller than the sum of its proper divisors (8249357520).

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

3206812680 is a wasteful number, since it uses less digits than its factorization.

3206812680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6515 (or 6496 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 3206812680 is about 56628.7266323374. The cubic root of 3206812680 is about 1474.6576135293.

The spelling of 3206812680 in words is "three billion, two hundred six million, eight hundred twelve thousand, six hundred eighty".