3999793920 has 144 divisors (see below), whose sum is σ = 12902071392. Its totient is φ = 1055948800.

The previous prime is 3999793901. The next prime is 3999793927. The reversal of 3999793920 is 293979993.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is not an unprimeable number, because it can be changed into a prime (3999793927) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 382684 + ... + 392996.

It is an arithmetic number, because the mean of its divisors is an integer number (89597718).

Almost surely, 2^3999793920 is an apocalyptic number.

3999793920 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 3999793920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6451035696).

3999793920 is an abundant number, since it is smaller than the sum of its proper divisors (8902277472).

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

3999793920 is a wasteful number, since it uses less digits than its factorization.

3999793920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10438 (or 10424 counting only the distinct ones).

The product of its (nonzero) digits is 7440174, while the sum is 60.

The square root of 3999793920 is about 63243.9239769324. The cubic root of 3999793920 is about 1587.3737905326.

The spelling of 3999793920 in words is "three billion, nine hundred ninety-nine million, seven hundred ninety-three thousand, nine hundred twenty".