3645293760 has 224 divisors, whose sum is σ = 13079577600. Its totient is φ = 955468800.

The previous prime is 3645293753. The next prime is 3645293767. The reversal of 3645293760 is 673925463.

3645293760 is a `hidden beast` number, since 3 + 64 + 529 + 3 + 7 + 60 = 666.

It is an interprime number because it is at equal distance from previous prime (3645293753) and next prime (3645293767).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (3645293767) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 506185 + ... + 513335.

Almost surely, 2^3645293760 is an apocalyptic number.

3645293760 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 3645293760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6539788800).

3645293760 is an abundant number, since it is smaller than the sum of its proper divisors (9434283840).

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

3645293760 is a wasteful number, since it uses less digits than its factorization.

3645293760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7236 (or 7220 counting only the distinct ones).

The product of its (nonzero) digits is 816480, while the sum is 45.

The square root of 3645293760 is about 60376.2681854386. The cubic root of 3645293760 is about 1539.0196943169.

The spelling of 3645293760 in words is "three billion, six hundred forty-five million, two hundred ninety-three thousand, seven hundred sixty".