3268206820 has 48 divisors (see below), whose sum is σ = 7273285488. Its totient is φ = 1229312000.

The previous prime is 3268206811. The next prime is 3268206829. The reversal of 3268206820 is 286028623.

It is an interprime number because it is at equal distance from previous prime (3268206811) and next prime (3268206829).

It can be written as a sum of positive squares in 8 ways, for example, as 442008576 + 2826198244 = 21024^2 + 53162^2 .

It is a hoax number, since the sum of its digits (37) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 3268206820.

It is not an unprimeable number, because it can be changed into a prime (3268206829) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 463320 + ... + 470320.

It is an arithmetic number, because the mean of its divisors is an integer number (151526781).

Almost surely, 2^3268206820 is an apocalyptic number.

It is an amenable number.

3268206820 is an abundant number, since it is smaller than the sum of its proper divisors (4005078668).

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

3268206820 is a wasteful number, since it uses less digits than its factorization.

3268206820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8400 (or 8398 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 37.

The square root of 3268206820 is about 57168.2326121772. The cubic root of 3268206820 is about 1484.0089174686.

The spelling of 3268206820 in words is "three billion, two hundred sixty-eight million, two hundred six thousand, eight hundred twenty".