3645753345 has 144 divisors (see below), whose sum is σ = 7522968960. Its totient is φ = 1624955904.

The previous prime is 3645753271. The next prime is 3645753361. The reversal of 3645753345 is 5433575463.

It is a happy number.

3645753345 is a `hidden beast` number, since 3 + 6 + 4 + 575 + 33 + 45 = 666.

It is not a de Polignac number, because 3645753345 - 2⁷ = 3645753217 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 3645753345.

It is an unprimeable number.

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 143 ways as a sum of consecutive naturals, for example, 3322837 + ... + 3323933.

It is an arithmetic number, because the mean of its divisors is an integer number (52242840).

Almost surely, 2^3645753345 is an apocalyptic number.

It is an amenable number.

3645753345 is an abundant number, since it is smaller than the sum of its proper divisors (3877215615).

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

3645753345 is a wasteful number, since it uses less digits than its factorization.

3645753345 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1176 (or 1160 counting only the distinct ones).

The product of its digits is 2268000, while the sum is 45.

The square root of 3645753345 is about 60380.0740724951. The cubic root of 3645753345 is about 1539.0843695474.

The spelling of 3645753345 in words is "three billion, six hundred forty-five million, seven hundred fifty-three thousand, three hundred forty-five".