3535920 has 80 divisors (see below), whose sum is σ = 12186720. Its totient is φ = 942336.

The previous prime is 3535913. The next prime is 3535927. The reversal of 3535920 is 295353.

3535920 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (3535913) and next prime (3535927).

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

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

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 (3535927) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1342 + ... + 2978.

It is an arithmetic number, because the mean of its divisors is an integer number (152334).

Almost surely, 2^3535920 is an apocalyptic number.

3535920 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 3535920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6093360).

3535920 is an abundant number, since it is smaller than the sum of its proper divisors (8650800).

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

3535920 is a wasteful number, since it uses less digits than its factorization.

3535920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1659 (or 1647 counting only the distinct ones).

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

The square root of 3535920 is about 1880.4042118651. The cubic root of 3535920 is about 152.3470831223.

The spelling of 3535920 in words is "three million, five hundred thirty-five thousand, nine hundred twenty".