3645960 has 64 divisors (see below), whose sum is σ = 11422080. Its totient is φ = 929280.

The previous prime is 3645959. The next prime is 3645977. The reversal of 3645960 is 695463.

It is a happy number.

It is an Ulam number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2100 + ... + 3420.

It is an arithmetic number, because the mean of its divisors is an integer number (178470).

Almost surely, 2^3645960 is an apocalyptic number.

3645960 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3645960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5711040).

3645960 is an abundant number, since it is smaller than the sum of its proper divisors (7776120).

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

3645960 is a wasteful number, since it uses less digits than its factorization.

3645960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1358 (or 1354 counting only the distinct ones).

The product of its (nonzero) digits is 19440, while the sum is 33.

The square root of 3645960 is about 1909.4397083962. The cubic root of 3645960 is about 153.9113449360.

The spelling of 3645960 in words is "three million, six hundred forty-five thousand, nine hundred sixty".