3763813824 has 56 divisors (see below), whose sum is σ = 11064920720. Its totient is φ = 1254604032.

The previous prime is 3763813811. The next prime is 3763813829. The reversal of 3763813824 is 4283183673.

3763813824 is a `hidden beast` number, since 3 + 7 + 638 + 1 + 3 + 8 + 2 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 3763813824.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3763813829) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1087339 + ... + 1090794.

It is an arithmetic number, because the mean of its divisors is an integer number (197587870).

Almost surely, 2^3763813824 is an apocalyptic number.

It is an amenable number.

3763813824 is an abundant number, since it is smaller than the sum of its proper divisors (7301106896).

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

3763813824 is a wasteful number, since it uses less digits than its factorization.

3763813824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2178154 (or 2178138 counting only the distinct ones).

The product of its digits is 580608, while the sum is 45.

The square root of 3763813824 is about 61349.9292909128. The cubic root of 3763813824 is about 1555.5215936833.

The spelling of 3763813824 in words is "three billion, seven hundred sixty-three million, eight hundred thirteen thousand, eight hundred twenty-four".