3206843640 has 576 divisors, whose sum is σ = 14116939200. Its totient is φ = 614338560.

The previous prime is 3206843623. The next prime is 3206843663. The reversal of 3206843640 is 463486023.

It is a happy number.

3206843640 is a `hidden beast` number, since 3 + 2 + 0 + 6 + 8 + 4 + 3 + 640 = 666.

It is a Cunningham number, because it is equal to 56629²-1.

It is a super-2 number, since 2×3206843640² = 20567692262816899200, which contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 3206843595 and 3206843604.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 3963556 + ... + 3964364.

It is an arithmetic number, because the mean of its divisors is an integer number (24508575).

Almost surely, 2^3206843640 is an apocalyptic number.

3206843640 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 3206843640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7058469600).

3206843640 is an abundant number, since it is smaller than the sum of its proper divisors (10910095560).

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

3206843640 is a wasteful number, since it uses less digits than its factorization.

3206843640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 868 (or 850 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 36.

The square root of 3206843640 is about 56628.9999911706. Note that the first 5 decimals coincide. The cubic root of 3206843640 is about 1474.6623591815.

The spelling of 3206843640 in words is "three billion, two hundred six million, eight hundred forty-three thousand, six hundred forty".