3781968072 has 64 divisors (see below), whose sum is σ = 9628476480. Its totient is φ = 1237727232.

The previous prime is 3781968049. The next prime is 3781968077. The reversal of 3781968072 is 2708691873.

It is not an unprimeable number, because it can be changed into a prime (3781968077) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 283668 + ... + 296700.

It is an arithmetic number, because the mean of its divisors is an integer number (150444945).

Almost surely, 2^3781968072 is an apocalyptic number.

It is an amenable number.

3781968072 is an abundant number, since it is smaller than the sum of its proper divisors (5846508408).

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

3781968072 is a wasteful number, since it uses less digits than its factorization.

3781968072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13262 (or 13258 counting only the distinct ones).

The product of its (nonzero) digits is 1016064, while the sum is 51.

The square root of 3781968072 is about 61497.7078597243. The cubic root of 3781968072 is about 1558.0185329154.

The spelling of 3781968072 in words is "three billion, seven hundred eighty-one million, nine hundred sixty-eight thousand, seventy-two".