3993696 has 108 divisors (see below), whose sum is σ = 13257972. Its totient is φ = 1137024.

The previous prime is 3993683. The next prime is 3993701. The reversal of 3993696 is 6963993.

It is a nude number because it is divisible by every one of its digits.

It is an Ulam number.

It is a zygodrome in base 2.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 13971 + ... + 14253.

It is an arithmetic number, because the mean of its divisors is an integer number (122759).

Almost surely, 2^3993696 is an apocalyptic number.

3993696 is a gapful number since it is divisible by the number (36) 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 3993696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6628986).

3993696 is an abundant number, since it is smaller than the sum of its proper divisors (9264276).

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

3993696 is a wasteful number, since it uses less digits than its factorization.

3993696 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 313 (or 295 counting only the distinct ones).

The product of its digits is 236196, while the sum is 45.

The square root of 3993696 is about 1998.4233785662. The cubic root of 3993696 is about 158.6566698815.

It can be divided in two parts, 399 and 3696, that added together give a triangular number (4095 = T₉₀).

The spelling of 3993696 in words is "three million, nine hundred ninety-three thousand, six hundred ninety-six".