3768192 has 48 divisors (see below), whose sum is σ = 10846680. Its totient is φ = 1255680.

The previous prime is 3768181. The next prime is 3768199. The reversal of 3768192 is 2918673.

3768192 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3768199) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 484 + ... + 2787.

Almost surely, 2^3768192 is an apocalyptic number.

3768192 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 3768192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5423340).

3768192 is an abundant number, since it is smaller than the sum of its proper divisors (7078488).

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

3768192 is a wasteful number, since it uses less digits than its factorization.

3768192 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3291 (or 3276 counting only the distinct ones).

The product of its digits is 18144, while the sum is 36.

The square root of 3768192 is about 1941.1831443736. The cubic root of 3768192 is about 155.6124502388.

It can be divided in two parts, 37681 and 92, that added together give a palindrome (37773).

The spelling of 3768192 in words is "three million, seven hundred sixty-eight thousand, one hundred ninety-two".