3645129600 has 960 divisors, whose sum is σ = 16069284000. Its totient is φ = 812851200.

The previous prime is 3645129569. The next prime is 3645129601. The reversal of 3645129600 is 69215463.

It is a happy number.

3645129600 is a `hidden beast` number, since 3 + 6 + 45 + 1 + 2 + 9 + 600 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3645129601) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 88905580 + ... + 88905620.

Almost surely, 2^3645129600 is an apocalyptic number.

3645129600 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 3645129600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8034642000).

3645129600 is an abundant number, since it is smaller than the sum of its proper divisors (12424154400).

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

3645129600 is an equidigital number, since it uses as much as digits as its factorization.

3645129600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 98 (or 58 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 36.

The square root of 3645129600 is about 60374.9086955831. The cubic root of 3645129600 is about 1538.9965915363.

The spelling of 3645129600 in words is "three billion, six hundred forty-five million, one hundred twenty-nine thousand, six hundred".