3993565680 has 200 divisors, whose sum is σ = 14937502272. Its totient is φ = 983010816.

The previous prime is 3993565651. The next prime is 3993565687. The reversal of 3993565680 is 865653993.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3993565687) by changing a digit.

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 39 ways as a sum of consecutive naturals, for example, 60537 + ... + 107943.

Almost surely, 2^3993565680 is an apocalyptic number.

3993565680 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 3993565680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7468751136).

3993565680 is an abundant number, since it is smaller than the sum of its proper divisors (10943936592).

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

3993565680 is a wasteful number, since it uses less digits than its factorization.

3993565680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 47445 (or 47430 counting only the distinct ones).

The product of its (nonzero) digits is 5248800, while the sum is 54.

The square root of 3993565680 is about 63194.6649646946. The cubic root of 3993565680 is about 1586.5494413155.

The spelling of 3993565680 in words is "three billion, nine hundred ninety-three million, five hundred sixty-five thousand, six hundred eighty".