3873600 has 126 divisors (see below), whose sum is σ = 13818870. Its totient is φ = 1029120.

The previous prime is 3873577. The next prime is 3873629. The reversal of 3873600 is 63783.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 576 + 3873024 = 24^2 + 1968^2 .

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 14266 + ... + 14534.

Almost surely, 2^3873600 is an apocalyptic number.

3873600 is a gapful number since it is divisible by the number (30) 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 3873600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6909435).

3873600 is an abundant number, since it is smaller than the sum of its proper divisors (9945270).

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

3873600 is a wasteful number, since it uses less digits than its factorization.

3873600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 297 (or 279 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 27.

The square root of 3873600 is about 1968.1463360228. The cubic root of 3873600 is about 157.0501145006.

The spelling of 3873600 in words is "three million, eight hundred seventy-three thousand, six hundred".