3993636960 has 384 divisors, whose sum is σ = 14416859520. Its totient is φ = 1045094400.

The previous prime is 3993636943. The next prime is 3993637013. The reversal of 3993636960 is 696363993.

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

It is a junction number, because it is equal to n+sod(n) for n = 3993636897 and 3993636906.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 35341864 + ... + 35341976.

It is an arithmetic number, because the mean of its divisors is an integer number (37543905).

Almost surely, 2^3993636960 is an apocalyptic number.

3993636960 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 3993636960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7208429760).

3993636960 is an abundant number, since it is smaller than the sum of its proper divisors (10423222560).

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

3993636960 is a wasteful number, since it uses less digits than its factorization.

3993636960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 250 (or 224 counting only the distinct ones).

The product of its (nonzero) digits is 4251528, while the sum is 54.

The square root of 3993636960 is about 63195.2289338365. The cubic root of 3993636960 is about 1586.5588805469.

The spelling of 3993636960 in words is "three billion, nine hundred ninety-three million, six hundred thirty-six thousand, nine hundred sixty".