3876192 has 72 divisors (see below), whose sum is σ = 11315304. Its totient is φ = 1257984.

The previous prime is 3876179. The next prime is 3876203. The reversal of 3876192 is 2916783.

3876192 is a `hidden beast` number, since 38 + 7 + 619 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 12228 + ... + 12540.

It is an arithmetic number, because the mean of its divisors is an integer number (157157).

Almost surely, 2^3876192 is an apocalyptic number.

3876192 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 3876192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5657652).

3876192 is an abundant number, since it is smaller than the sum of its proper divisors (7439112).

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

3876192 is a wasteful number, since it uses less digits than its factorization.

3876192 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 372 (or 361 counting only the distinct ones).

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

The square root of 3876192 is about 1968.8047135254. The cubic root of 3876192 is about 157.0851364555.

It can be divided in two parts, 387 and 6192, that multiplied together give a square (2396304 = 1548²).

The spelling of 3876192 in words is "three million, eight hundred seventy-six thousand, one hundred ninety-two".