3920512 has 32 divisors (see below), whose sum is σ = 7910100. Its totient is φ = 1935360.

The previous prime is 3920509. The next prime is 3920513. The reversal of 3920512 is 2150293.

It can be written as a sum of positive squares in 2 ways, for example, as 3779136 + 141376 = 1944^2 + 376^2 .

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

It is not an unprimeable number, because it can be changed into a prime (3920513) 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, 13812 + ... + 14092.

Almost surely, 2^3920512 is an apocalyptic number.

3920512 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 3920512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3955050).

3920512 is an abundant number, since it is smaller than the sum of its proper divisors (3989588).

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

3920512 is a wasteful number, since it uses less digits than its factorization.

3920512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 404 (or 392 counting only the distinct ones).

The product of its (nonzero) digits is 540, while the sum is 22.

The square root of 3920512 is about 1980.0282826263. The cubic root of 3920512 is about 157.6815677122.

The spelling of 3920512 in words is "three million, nine hundred twenty thousand, five hundred twelve".