3957520 has 80 divisors (see below), whose sum is σ = 10856448. Its totient is φ = 1313280.

The previous prime is 3957509. The next prime is 3957521. The reversal of 3957520 is 257593.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is not an unprimeable number, because it can be changed into a prime (3957521) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 20625 + ... + 20815.

Almost surely, 2^3957520 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 3957520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5428224).

3957520 is an abundant number, since it is smaller than the sum of its proper divisors (6898928).

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

3957520 is a wasteful number, since it uses less digits than its factorization.

3957520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 248 (or 242 counting only the distinct ones).

The product of its (nonzero) digits is 9450, while the sum is 31.

The square root of 3957520 is about 1989.3516531775. The cubic root of 3957520 is about 158.1761641365.

The spelling of 3957520 in words is "three million, nine hundred fifty-seven thousand, five hundred twenty".