3872448 has 98 divisors (see below), whose sum is σ = 11660124. Its totient is φ = 1275264.

The previous prime is 3872423. The next prime is 3872459. The reversal of 3872448 is 8442783.

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

It is an unprimeable number.

It is a polite number, since it can be written in 13 ways as a sum of consecutive naturals, for example, 46615 + ... + 46697.

Almost surely, 2^3872448 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 3872448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5830062).

3872448 is an abundant number, since it is smaller than the sum of its proper divisors (7787676).

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

3872448 is an frugal number, since it uses more digits than its factorization.

3872448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 113 (or 88 counting only the distinct ones).

The product of its digits is 43008, while the sum is 36.

The square root of 3872448 is about 1967.8536530952. The cubic root of 3872448 is about 157.0345441724.

It can be divided in two parts, 387 and 2448, that multiplied together give a triangular number (947376 = T₁₃₇₆).

The spelling of 3872448 in words is "three million, eight hundred seventy-two thousand, four hundred forty-eight".