3933540 has 108 divisors (see below), whose sum is σ = 13170612. Its totient is φ = 944640.

The previous prime is 3933539. The next prime is 3933547. The reversal of 3933540 is 453393.

It can be written as a sum of positive squares in 6 ways, for example, as 2143296 + 1790244 = 1464^2 + 1338^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3933547) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 95920 + ... + 95960.

Almost surely, 2^3933540 is an apocalyptic number.

3933540 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 3933540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6585306).

3933540 is an abundant number, since it is smaller than the sum of its proper divisors (9237072).

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

3933540 is a wasteful number, since it uses less digits than its factorization.

3933540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 110 (or 64 counting only the distinct ones).

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

The square root of 3933540 is about 1983.3154060814. The cubic root of 3933540 is about 157.8560350759.

The spelling of 3933540 in words is "three million, nine hundred thirty-three thousand, five hundred forty".