3645447120 has 720 divisors, whose sum is σ = 15282146880. Its totient is φ = 804722688.

The previous prime is 3645447119. The next prime is 3645447131. The reversal of 3645447120 is 217445463.

3645447120 is a `hidden beast` number, since 3 + 645 + 4 + 4 + 7 + 1 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

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 polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 40960036 + ... + 40960124.

It is an arithmetic number, because the mean of its divisors is an integer number (21225204).

Almost surely, 2^3645447120 is an apocalyptic number.

3645447120 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 3645447120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7641073440).

3645447120 is an abundant number, since it is smaller than the sum of its proper divisors (11636699760).

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

3645447120 is a wasteful number, since it uses less digits than its factorization.

3645447120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 174 (or 149 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 36.

The square root of 3645447120 is about 60377.5382075155. The cubic root of 3645447120 is about 1539.0412765510.

The spelling of 3645447120 in words is "three billion, six hundred forty-five million, four hundred forty-seven thousand, one hundred twenty".