3695904 has 72 divisors (see below), whose sum is σ = 10800972. Its totient is φ = 1198080.

The previous prime is 3695869. The next prime is 3695911. The reversal of 3695904 is 4095963.

3695904 is a `hidden beast` number, since 3 + 69 + 590 + 4 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 2396304 + 1299600 = 1548^2 + 1140^2 .

It is a tau number, because it is divible by the number of its divisors (72).

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

It is a d-powerful number, because it can be written as 3¹⁰ + 6⁸ + 9 + 5⁹ + 9 + 0 + 4⁶ .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 11652 + ... + 11964.

Almost surely, 2^3695904 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 3695904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5400486).

3695904 is an abundant number, since it is smaller than the sum of its proper divisors (7105068).

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

3695904 is a wasteful number, since it uses less digits than its factorization.

3695904 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 370 (or 359 counting only the distinct ones).

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

The square root of 3695904 is about 1922.4734068382. The cubic root of 3695904 is about 154.6109424043.

It can be divided in two parts, 369 and 5904, that multiplied together give a square (2178576 = 1476²).

The spelling of 3695904 in words is "three million, six hundred ninety-five thousand, nine hundred four".