3967704 has 96 divisors (see below), whose sum is σ = 12077520. Its totient is φ = 1213056.

The previous prime is 3967699. The next prime is 3967727. The reversal of 3967704 is 4077693.

3967704 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 25194 + ... + 25350.

Almost surely, 2^3967704 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3967704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6038760).

3967704 is an abundant number, since it is smaller than the sum of its proper divisors (8109816).

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

3967704 is a wasteful number, since it uses less digits than its factorization.

3967704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 191 (or 175 counting only the distinct ones).

The product of its (nonzero) digits is 31752, while the sum is 36.

The square root of 3967704 is about 1991.9096365046. The cubic root of 3967704 is about 158.3117276767.

It can be divided in two parts, 396 and 7704, that added together give a square (8100 = 90²).

The spelling of 3967704 in words is "three million, nine hundred sixty-seven thousand, seven hundred four".