3645745824 has 288 divisors, whose sum is σ = 12002328576. Its totient is φ = 963325440.

The previous prime is 3645745823. The next prime is 3645745849. The reversal of 3645745824 is 4285475463.

It is a super-2 number, since 2×3645745824² = 26582925226426877952, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3645745823) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3353409 + ... + 3354495.

It is an arithmetic number, because the mean of its divisors is an integer number (41674752).

Almost surely, 2^3645745824 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3645745824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6001164288).

3645745824 is an abundant number, since it is smaller than the sum of its proper divisors (8356582752).

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

3645745824 is a wasteful number, since it uses less digits than its factorization.

3645745824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1168 (or 1153 counting only the distinct ones).

The product of its digits is 3225600, while the sum is 48.

The square root of 3645745824 is about 60380.0117919829. The cubic root of 3645745824 is about 1539.0833111963.

The spelling of 3645745824 in words is "three billion, six hundred forty-five million, seven hundred forty-five thousand, eight hundred twenty-four".