3874176 has 128 divisors (see below), whose sum is σ = 12240000. Its totient is φ = 1202688.

The previous prime is 3874153. The next prime is 3874193. The reversal of 3874176 is 6714783.

It is a tau number, because it is divible by the number of its divisors (128).

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

It is a self number, because there is not a number n which added to its sum of digits gives 3874176.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 65635 + ... + 65693.

It is an arithmetic number, because the mean of its divisors is an integer number (95625).

Almost surely, 2^3874176 is an apocalyptic number.

3874176 is a gapful number since it is divisible by the number (36) 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 3874176, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6120000).

3874176 is an abundant number, since it is smaller than the sum of its proper divisors (8365824).

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

3874176 is a wasteful number, since it uses less digits than its factorization.

3874176 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 101 (or 83 counting only the distinct ones).

The product of its digits is 28224, while the sum is 36.

The square root of 3874176 is about 1968.2926611660. The cubic root of 3874176 is about 157.0578985071.

The spelling of 3874176 in words is "three million, eight hundred seventy-four thousand, one hundred seventy-six".