3874840 has 32 divisors (see below), whose sum is σ = 8844480. Its totient is φ = 1527552.

The previous prime is 3874837. The next prime is 3874853. The reversal of 3874840 is 484783.

It is a Smith number, since the sum of its digits (34) coincides with the sum of the digits of its prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 3874796 and 3874805.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2257 + ... + 3583.

It is an arithmetic number, because the mean of its divisors is an integer number (276390).

Almost surely, 2^3874840 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3874840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4422240).

3874840 is an abundant number, since it is smaller than the sum of its proper divisors (4969640).

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

3874840 is a wasteful number, since it uses less digits than its factorization.

3874840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1411 (or 1407 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 34.

The square root of 3874840 is about 1968.4613280428. The cubic root of 3874840 is about 157.0668707795.

It can be divided in two parts, 387 and 4840, that multiplied together give a triangular number (1873080 = T₁₉₃₅).

The spelling of 3874840 in words is "three million, eight hundred seventy-four thousand, eight hundred forty".