3965520 has 160 divisors (see below), whose sum is σ = 13999104. Its totient is φ = 921600.

The previous prime is 3965483. The next prime is 3965537. The reversal of 3965520 is 255693.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a d-powerful number, because it can be written as 3 + 9⁵ + 6³ + 5⁹ + 5⁹ + 2 + 0 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 96700 + ... + 96740.

Almost surely, 2^3965520 is an apocalyptic number.

3965520 is a gapful number since it is divisible by the number (30) 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 3965520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6999552).

3965520 is an abundant number, since it is smaller than the sum of its proper divisors (10033584).

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

3965520 is a wasteful number, since it uses less digits than its factorization.

3965520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 101 (or 95 counting only the distinct ones).

The product of its (nonzero) digits is 8100, while the sum is 30.

The square root of 3965520 is about 1991.3613434030. The cubic root of 3965520 is about 158.2826750834.

The spelling of 3965520 in words is "three million, nine hundred sixty-five thousand, five hundred twenty".