3645250560 has 352 divisors, whose sum is σ = 14809144320. Its totient is φ = 832978944.

The previous prime is 3645250541. The next prime is 3645250577. The reversal of 3645250560 is 650525463.

It is a happy number.

3645250560 is a `hidden beast` number, since 3 + 6 + 45 + 2 + 50 + 560 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 965797 + ... + 969563.

Almost surely, 2^3645250560 is an apocalyptic number.

3645250560 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 3645250560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7404572160).

3645250560 is an abundant number, since it is smaller than the sum of its proper divisors (11163893760).

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

3645250560 is a wasteful number, since it uses less digits than its factorization.

3645250560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3808 (or 3784 counting only the distinct ones).

The product of its (nonzero) digits is 108000, while the sum is 36.

The square root of 3645250560 is about 60375.9104279182. The cubic root of 3645250560 is about 1539.0136147050.

The spelling of 3645250560 in words is "three billion, six hundred forty-five million, two hundred fifty thousand, five hundred sixty".