3969504 has 144 divisors (see below), whose sum is σ = 14152320. Its totient is φ = 1025280.

The previous prime is 3969503. The next prime is 3969527. The reversal of 3969504 is 4059693.

It is a tau number, because it is divible by the number of its divisors (144).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3969503) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 22087 + ... + 22265.

It is an arithmetic number, because the mean of its divisors is an integer number (98280).

Almost surely, 2^3969504 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 3969504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7076160).

3969504 is an abundant number, since it is smaller than the sum of its proper divisors (10182816).

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

3969504 is a wasteful number, since it uses less digits than its factorization.

3969504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 213 (or 202 counting only the distinct ones).

The product of its (nonzero) digits is 29160, while the sum is 36.

The square root of 3969504 is about 1992.3614129971. The cubic root of 3969504 is about 158.3356641085.

It can be divided in two parts, 3969 and 504, that multiplied together give a cube (2000376 = 126³).

The spelling of 3969504 in words is "three million, nine hundred sixty-nine thousand, five hundred four".