3993865380 has 144 divisors (see below), whose sum is σ = 12716069184. Its totient is φ = 1052092800.

The previous prime is 3993865367. The next prime is 3993865397. The reversal of 3993865380 is 835683993.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 398430 + ... + 408330.

It is an arithmetic number, because the mean of its divisors is an integer number (88306036).

Almost surely, 2^3993865380 is an apocalyptic number.

3993865380 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 3993865380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6358034592).

3993865380 is an abundant number, since it is smaller than the sum of its proper divisors (8722203804).

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

3993865380 is a wasteful number, since it uses less digits than its factorization.

3993865380 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10008 (or 9994 counting only the distinct ones).

The product of its (nonzero) digits is 4199040, while the sum is 54.

The square root of 3993865380 is about 63197.0361646810. The cubic root of 3993865380 is about 1586.5891282362.

The spelling of 3993865380 in words is "three billion, nine hundred ninety-three million, eight hundred sixty-five thousand, three hundred eighty".