3556320768 has 640 divisors, whose sum is σ = 14189091840. Its totient is φ = 849346560.

The previous prime is 3556320767. The next prime is 3556320773. The reversal of 3556320768 is 8670236553.

3556320768 is a `hidden beast` number, since 3 + 5 + 5 + 632 + 0 + 7 + 6 + 8 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3556320767) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 13837696 + ... + 13837952.

It is an arithmetic number, because the mean of its divisors is an integer number (22170456).

Almost surely, 2^3556320768 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 3556320768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7094545920).

3556320768 is an abundant number, since it is smaller than the sum of its proper divisors (10632771072).

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

3556320768 is a wasteful number, since it uses less digits than its factorization.

3556320768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 315 (or 293 counting only the distinct ones).

The product of its (nonzero) digits is 907200, while the sum is 45.

The square root of 3556320768 is about 59634.8955562094. The cubic root of 3556320768 is about 1526.3951425817.

The spelling of 3556320768 in words is "three billion, five hundred fifty-six million, three hundred twenty thousand, seven hundred sixty-eight".