3681504 has 48 divisors (see below), whose sum is σ = 10740240. Its totient is φ = 1226880.

The previous prime is 3681499. The next prime is 3681511. The reversal of 3681504 is 4051863.

3681504 = T₁₂₇ + T₁₂₈ + ... + T₂₈₈.

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

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1267 + ... + 2994.

It is an arithmetic number, because the mean of its divisors is an integer number (223755).

Almost surely, 2^3681504 is an apocalyptic number.

It is an amenable number.

3681504 is an abundant number, since it is smaller than the sum of its proper divisors (7058736).

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

3681504 is a wasteful number, since it uses less digits than its factorization.

3681504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4280 (or 4266 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 3681504 is about 1918.7245763788. The cubic root of 3681504 is about 154.4098824068.

The spelling of 3681504 in words is "three million, six hundred eighty-one thousand, five hundred four".