3993540 has 48 divisors (see below), whose sum is σ = 11309760. Its totient is φ = 1052800.

The previous prime is 3993527. The next prime is 3993547. The reversal of 3993540 is 453993.

It is not an unprimeable number, because it can be changed into a prime (3993547) 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, 5731 + ... + 6389.

It is an arithmetic number, because the mean of its divisors is an integer number (235620).

Almost surely, 2^3993540 is an apocalyptic number.

3993540 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 3993540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5654880).

3993540 is an abundant number, since it is smaller than the sum of its proper divisors (7316220).

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

3993540 is a wasteful number, since it uses less digits than its factorization.

3993540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 772 (or 770 counting only the distinct ones).

The product of its (nonzero) digits is 14580, while the sum is 33.

The square root of 3993540 is about 1998.3843474167. The cubic root of 3993540 is about 158.6546040622.

The spelling of 3993540 in words is "three million, nine hundred ninety-three thousand, five hundred forty".