3647960 has 16 divisors (see below), whose sum is σ = 8208000. Its totient is φ = 1459168.

The previous prime is 3647953. The next prime is 3647971. The reversal of 3647960 is 697463.

3647960 = T₄₀ + T₄₁ + ... + T₂₇₉.

It is a super-2 number, since 2×3647960² = 26615224323200, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 3647960.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 45560 + ... + 45639.

It is an arithmetic number, because the mean of its divisors is an integer number (513000).

Almost surely, 2^3647960 is an apocalyptic number.

It is an amenable number.

3647960 is an abundant number, since it is smaller than the sum of its proper divisors (4560040).

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

3647960 is a wasteful number, since it uses less digits than its factorization.

3647960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 91210 (or 91206 counting only the distinct ones).

The product of its (nonzero) digits is 27216, while the sum is 35.

The square root of 3647960 is about 1909.9633504337. The cubic root of 3647960 is about 153.9394826027.

The spelling of 3647960 in words is "three million, six hundred forty-seven thousand, nine hundred sixty".