3935520 has 96 divisors (see below), whose sum is σ = 13789440. Its totient is φ = 1048320.

The previous prime is 3935509. The next prime is 3935521. The reversal of 3935520 is 255393.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (3935521) 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, 3865 + ... + 4775.

It is an arithmetic number, because the mean of its divisors is an integer number (143640).

Almost surely, 2^3935520 is an apocalyptic number.

3935520 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 3935520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6894720).

3935520 is an abundant number, since it is smaller than the sum of its proper divisors (9853920).

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

3935520 is a wasteful number, since it uses less digits than its factorization.

3935520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 935 (or 921 counting only the distinct ones).

The product of its (nonzero) digits is 4050, while the sum is 27.

The square root of 3935520 is about 1983.8145074578. The cubic root of 3935520 is about 157.8825169490.

It can be divided in two parts, 39 and 35520, that multiplied together give a triangular number (1385280 = T₁₆₆₄).

The spelling of 3935520 in words is "three million, nine hundred thirty-five thousand, five hundred twenty".