3645120 has 56 divisors (see below), whose sum is σ = 11576304. Its totient is φ = 971776.

The previous prime is 3645119. The next prime is 3645121. The reversal of 3645120 is 215463.

3645120 = T₃₀₅ + T₃₀₆ + ... + T₃₆₈.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (3645119) and next prime (3645121).

It is not an unprimeable number, because it can be changed into a prime (3645121) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 939 + ... + 2858.

Almost surely, 2^3645120 is an apocalyptic number.

3645120 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3645120 is an abundant number, since it is smaller than the sum of its proper divisors (7931184).

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

3645120 is a wasteful number, since it uses less digits than its factorization.

3645120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3817 (or 3807 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 21.

The square root of 3645120 is about 1909.2197359131. The cubic root of 3645120 is about 153.8995240475.

The spelling of 3645120 in words is "three million, six hundred forty-five thousand, one hundred twenty".