3206763648 has 256 divisors, whose sum is σ = 10487232000. Its totient is φ = 956482560.

The previous prime is 3206763647. The next prime is 3206763649. The reversal of 3206763648 is 8463676023.

3206763648 is a `hidden beast` number, since 3 + 2 + 0 + 6 + 7 + 636 + 4 + 8 = 666.

It is an interprime number because it is at equal distance from previous prime (3206763647) and next prime (3206763649).

It is not an unprimeable number, because it can be changed into a prime (3206763641) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2546443 + ... + 2547701.

It is an arithmetic number, because the mean of its divisors is an integer number (40965750).

Almost surely, 2^3206763648 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3206763648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5243616000).

3206763648 is an abundant number, since it is smaller than the sum of its proper divisors (7280468352).

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

3206763648 is a wasteful number, since it uses less digits than its factorization.

3206763648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1360 (or 1342 counting only the distinct ones).

The product of its (nonzero) digits is 870912, while the sum is 45.

The square root of 3206763648 is about 56628.2937055320. The cubic root of 3206763648 is about 1474.6500976781.

The spelling of 3206763648 in words is "three billion, two hundred six million, seven hundred sixty-three thousand, six hundred forty-eight".