3935872 has 32 divisors (see below), whose sum is σ = 7946820. Its totient is φ = 1941504.

The previous prime is 3935861. The next prime is 3935879. The reversal of 3935872 is 2785393.

It can be written as a sum of positive squares in 2 ways, for example, as 3594816 + 341056 = 1896^2 + 584^2 .

It is a tau number, because it is divible by the number of its divisors (32).

It is an Ulam number.

It is not an unprimeable number, because it can be changed into a prime (3935879) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 12258 + ... + 12574.

Almost surely, 2^3935872 is an apocalyptic number.

3935872 is a gapful number since it is divisible by the number (32) 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 3935872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3973410).

3935872 is an abundant number, since it is smaller than the sum of its proper divisors (4010948).

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

3935872 is an equidigital number, since it uses as much as digits as its factorization.

3935872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 428 (or 416 counting only the distinct ones).

The product of its digits is 45360, while the sum is 37.

The square root of 3935872 is about 1983.9032234461. The cubic root of 3935872 is about 157.8872239076.

The spelling of 3935872 in words is "three million, nine hundred thirty-five thousand, eight hundred seventy-two".