3993504 has 48 divisors (see below), whose sum is σ = 11104128. Its totient is φ = 1252352.

The previous prime is 3993481. The next prime is 3993511. The reversal of 3993504 is 4053993.

It is a tau number, because it is divible by the number of its divisors (48).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 409 + ... + 2855.

It is an arithmetic number, because the mean of its divisors is an integer number (231336).

Almost surely, 2^3993504 is an apocalyptic number.

3993504 is a gapful number since it is divisible by the number (34) 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 3993504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5552064).

3993504 is an abundant number, since it is smaller than the sum of its proper divisors (7110624).

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

3993504 is a wasteful number, since it uses less digits than its factorization.

3993504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2477 (or 2469 counting only the distinct ones).

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

The square root of 3993504 is about 1998.3753401201. The cubic root of 3993504 is about 158.6541273270.

The spelling of 3993504 in words is "three million, nine hundred ninety-three thousand, five hundred four".