3712928 has 24 divisors (see below), whose sum is σ = 7563780. Its totient is φ = 1792000.

The previous prime is 3712927. The next prime is 3712949. The reversal of 3712928 is 8292173.

It can be written as a sum of positive squares in 2 ways, for example, as 3429904 + 283024 = 1852^2 + 532^2 .

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a junction number, because it is equal to n+sod(n) for n = 3712894 and 3712903.

It is not an unprimeable number, because it can be changed into a prime (3712927) 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, 1073 + ... + 2928.

Almost surely, 2^3712928 is an apocalyptic number.

It is an amenable number.

3712928 is an abundant number, since it is smaller than the sum of its proper divisors (3850852).

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

3712928 is a wasteful number, since it uses less digits than its factorization.

3712928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4040 (or 4032 counting only the distinct ones).

The product of its digits is 6048, while the sum is 32.

The square root of 3712928 is about 1926.8959494482. The cubic root of 3712928 is about 154.8479674722.

It can be divided in two parts, 3712 and 928, that multiplied together give a square (3444736 = 1856²).

The spelling of 3712928 in words is "three million, seven hundred twelve thousand, nine hundred twenty-eight".