3923872 has 24 divisors (see below), whose sum is σ = 8180676. Its totient is φ = 1846272.

The previous prime is 3923867. The next prime is 3923893. The reversal of 3923872 is 2783293.

It can be written as a sum of positive squares in 2 ways, for example, as 3519376 + 404496 = 1876^2 + 636^2 .

It is a Harshad number since it is a multiple of its sum of digits (34).

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 3063 + ... + 4150.

Almost surely, 2^3923872 is an apocalyptic number.

3923872 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

3923872 is an abundant number, since it is smaller than the sum of its proper divisors (4256804).

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

3923872 is a wasteful number, since it uses less digits than its factorization.

3923872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7240 (or 7232 counting only the distinct ones).

The product of its digits is 18144, while the sum is 34.

The square root of 3923872 is about 1980.8765736411. The cubic root of 3923872 is about 157.7266008427.

It can be divided in two parts, 392 and 3872, that multiplied together give a square (1517824 = 1232²).

The spelling of 3923872 in words is "three million, nine hundred twenty-three thousand, eight hundred seventy-two".