3874100 has 36 divisors (see below), whose sum is σ = 8853600. Its totient is φ = 1467360.

The previous prime is 3874099. The next prime is 3874103. The reversal of 3874100 is 14783.

3874100 = 78² + 79² + ... + 229².

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3874103) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 881 + ... + 2919.

Almost surely, 2^3874100 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 3874100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4426800).

3874100 is an abundant number, since it is smaller than the sum of its proper divisors (4979500).

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

3874100 is a wasteful number, since it uses less digits than its factorization.

3874100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2072 (or 2065 counting only the distinct ones).

The product of its (nonzero) digits is 672, while the sum is 23.

The square root of 3874100 is about 1968.2733549992. The cubic root of 3874100 is about 157.0568714948.

Adding to 3874100 its reverse (14783), we get a palindrome (3888883).

The spelling of 3874100 in words is "three million, eight hundred seventy-four thousand, one hundred".