3993321960 has 192 divisors, whose sum is σ = 13771929600. Its totient is φ = 1000677888.

The previous prime is 3993321907. The next prime is 3993321967. The reversal of 3993321960 is 691233993.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (3993321967) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 866382 + ... + 870978.

It is an arithmetic number, because the mean of its divisors is an integer number (71728800).

Almost surely, 2^3993321960 is an apocalyptic number.

3993321960 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 3993321960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6885964800).

3993321960 is an abundant number, since it is smaller than the sum of its proper divisors (9778607640).

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

3993321960 is a wasteful number, since it uses less digits than its factorization.

3993321960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4760 (or 4753 counting only the distinct ones).

The product of its (nonzero) digits is 236196, while the sum is 45.

The square root of 3993321960 is about 63192.7366079362. The cubic root of 3993321960 is about 1586.5171659233.

The spelling of 3993321960 in words is "three billion, nine hundred ninety-three million, three hundred twenty-one thousand, nine hundred sixty".