3393540 has 72 divisors (see below), whose sum is σ = 10909080. Its totient is φ = 850944.

The previous prime is 3393487. The next prime is 3393553. The reversal of 3393540 is 453933.

3393540 is a `hidden beast` number, since 33 + 93 + 540 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 66564 + 3326976 = 258^2 + 1824^2 .

It is a super-2 number, since 2×3393540² = 23032227463200, which contains 22 as substring.

It is an Ulam number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2506 + ... + 3614.

It is an arithmetic number, because the mean of its divisors is an integer number (151515).

Almost surely, 2^3393540 is an apocalyptic number.

3393540 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 3393540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5454540).

3393540 is an abundant number, since it is smaller than the sum of its proper divisors (7515540).

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

3393540 is a wasteful number, since it uses less digits than its factorization.

3393540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1141 (or 1136 counting only the distinct ones).

The product of its (nonzero) digits is 4860, while the sum is 27.

The square root of 3393540 is about 1842.1563451564. The cubic root of 3393540 is about 150.2741652508.

The spelling of 3393540 in words is "three million, three hundred ninety-three thousand, five hundred forty".