3645895680 has 528 divisors, whose sum is σ = 14714818560. Its totient is φ = 817496064.

The previous prime is 3645895639. The next prime is 3645895691. The reversal of 3645895680 is 865985463.

It is a happy number.

3645895680 is a `hidden beast` number, since 3 + 6 + 4 + 589 + 56 + 8 + 0 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 28707777 + ... + 28707903.

Almost surely, 2^3645895680 is an apocalyptic number.

3645895680 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 3645895680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7357409280).

3645895680 is an abundant number, since it is smaller than the sum of its proper divisors (11068922880).

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

3645895680 is a wasteful number, since it uses less digits than its factorization.

3645895680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 254 (or 233 counting only the distinct ones).

The product of its (nonzero) digits is 6220800, while the sum is 54.

The square root of 3645895680 is about 60381.2527196977. The cubic root of 3645895680 is about 1539.1043985787.

The spelling of 3645895680 in words is "three billion, six hundred forty-five million, eight hundred ninety-five thousand, six hundred eighty".