3645370575 has 144 divisors (see below), whose sum is σ = 8442959616. Its totient is φ = 1514764800.

The previous prime is 3645370529. The next prime is 3645370591. The reversal of 3645370575 is 5750735463.

3645370575 is a `hidden beast` number, since 3 + 6 + 4 + 5 + 3 + 70 + 575 = 666.

It is not a de Polignac number, because 3645370575 - 2¹⁵ = 3645337807 is a prime.

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

It is a self number, because there is not a number n which added to its sum of digits gives 3645370575.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 463879 + ... + 471671.

It is an arithmetic number, because the mean of its divisors is an integer number (58631664).

Almost surely, 2^3645370575 is an apocalyptic number.

3645370575 is a gapful number since it is divisible by the number (35) formed by its first and last digit.

3645370575 is an abundant number, since it is smaller than the sum of its proper divisors (4797589041).

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

3645370575 is a wasteful number, since it uses less digits than its factorization.

3645370575 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7836 (or 7819 counting only the distinct ones).

The product of its (nonzero) digits is 1323000, while the sum is 45.

The square root of 3645370575 is about 60376.9043177936. The cubic root of 3645370575 is about 1539.0305045081.

The spelling of 3645370575 in words is "three billion, six hundred forty-five million, three hundred seventy thousand, five hundred seventy-five".