3645720 has 192 divisors, whose sum is σ = 13759200. Its totient is φ = 829440.

The previous prime is 3645713. The next prime is 3645727. The reversal of 3645720 is 275463.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (3645713) and next prime (3645727).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3645727) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 88900 + ... + 88940.

Almost surely, 2^3645720 is an apocalyptic number.

3645720 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 3645720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6879600).

3645720 is an abundant number, since it is smaller than the sum of its proper divisors (10113480).

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

3645720 is a wasteful number, since it uses less digits than its factorization.

3645720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 90 (or 83 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 27.

The square root of 3645720 is about 1909.3768617012. The cubic root of 3645720 is about 153.9079677246.

It can be divided in two parts, 3645 and 720, that multiplied together give a square (2624400 = 1620²).

The spelling of 3645720 in words is "three million, six hundred forty-five thousand, seven hundred twenty".