3923037768 has 128 divisors (see below), whose sum is σ = 11389795200. Its totient is φ = 1115596800.

The previous prime is 3923037751. The next prime is 3923037821. The reversal of 3923037768 is 8677303293.

It is a happy number.

3923037768 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 234978 + ... + 251118.

It is an arithmetic number, because the mean of its divisors is an integer number (88982775).

Almost surely, 2^3923037768 is an apocalyptic number.

3923037768 is a gapful number since it is divisible by the number (38) 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 3923037768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5694897600).

3923037768 is an abundant number, since it is smaller than the sum of its proper divisors (7466757432).

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

3923037768 is a wasteful number, since it uses less digits than its factorization.

3923037768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16223 (or 16219 counting only the distinct ones).

The product of its (nonzero) digits is 1143072, while the sum is 48.

The square root of 3923037768 is about 62634.1581567119. The cubic root of 3923037768 is about 1577.1542226673.

The spelling of 3923037768 in words is "three billion, nine hundred twenty-three million, thirty-seven thousand, seven hundred sixty-eight".