3539040 has 96 divisors (see below), whose sum is σ = 11412576. Its totient is φ = 921600.

The previous prime is 3539027. The next prime is 3539051. The reversal of 3539040 is 409353.

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 (24).

It is a self number, because there is not a number n which added to its sum of digits gives 3539040.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 34990 + ... + 35090.

It is an arithmetic number, because the mean of its divisors is an integer number (118881).

It is the magic constant of a 192 × 192 magic square.

Almost surely, 2^3539040 is an apocalyptic number.

3539040 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 3539040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5706288).

3539040 is an abundant number, since it is smaller than the sum of its proper divisors (7873536).

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

3539040 is a wasteful number, since it uses less digits than its factorization.

3539040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 192 (or 184 counting only the distinct ones).

The product of its (nonzero) digits is 1620, while the sum is 24.

The square root of 3539040 is about 1881.2336378026. The cubic root of 3539040 is about 152.3918789288.

The spelling of 3539040 in words is "three million, five hundred thirty-nine thousand, forty".