3839763960 has 128 divisors (see below), whose sum is σ = 13472928000. Its totient is φ = 970040448.

The previous prime is 3839763959. The next prime is 3839763989. The reversal of 3839763960 is 693679383.

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 = 3839763897 and 3839763906.

It is a congruent number.

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, 73042 + ... + 114081.

It is an arithmetic number, because the mean of its divisors is an integer number (105257250).

Almost surely, 2^3839763960 is an apocalyptic number.

3839763960 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3839763960 is an abundant number, since it is smaller than the sum of its proper divisors (9633164040).

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

3839763960 is a wasteful number, since it uses less digits than its factorization.

3839763960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 187162 (or 187152 counting only the distinct ones).

The product of its (nonzero) digits is 4408992, while the sum is 54.

The square root of 3839763960 is about 61965.8289704899. The cubic root of 3839763960 is about 1565.9149702074.

The spelling of 3839763960 in words is "three billion, eight hundred thirty-nine million, seven hundred sixty-three thousand, nine hundred sixty".