3768684192 has 192 divisors, whose sum is σ = 13528892160. Its totient is φ = 993917952.

The previous prime is 3768684169. The next prime is 3768684193. The reversal of 3768684192 is 2914868673.

3768684192 is a `hidden beast` number, since 376 + 8 + 6 + 84 + 192 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (3768684193) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 54658 + ... + 102590.

It is an arithmetic number, because the mean of its divisors is an integer number (70462980).

Almost surely, 2^3768684192 is an apocalyptic number.

3768684192 is a gapful number since it is divisible by the number (32) 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 3768684192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6764446080).

3768684192 is an abundant number, since it is smaller than the sum of its proper divisors (9760207968).

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

3768684192 is a wasteful number, since it uses less digits than its factorization.

3768684192 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 47972 (or 47958 counting only the distinct ones).

The product of its digits is 3483648, while the sum is 54.

The square root of 3768684192 is about 61389.6098049173. The cubic root of 3768684192 is about 1556.1922518272.

The spelling of 3768684192 in words is "three billion, seven hundred sixty-eight million, six hundred eighty-four thousand, one hundred ninety-two".