3644141760 has 840 divisors, whose sum is σ = 15982102656. Its totient is φ = 758661120.

The previous prime is 3644141747. The next prime is 3644141771. The reversal of 3644141760 is 671414463.

3644141760 is a `hidden beast` number, since 3 + 644 + 1 + 4 + 1 + 7 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (840).

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

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 119 ways as a sum of consecutive naturals, for example, 117552945 + ... + 117552975.

Almost surely, 2^3644141760 is an apocalyptic number.

3644141760 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 3644141760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7991051328).

3644141760 is an abundant number, since it is smaller than the sum of its proper divisors (12337960896).

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

3644141760 is a wasteful number, since it uses less digits than its factorization.

3644141760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 99 (or 65 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The square root of 3644141760 is about 60366.7272593107. The cubic root of 3644141760 is about 1538.8575548934.

The spelling of 3644141760 in words is "three billion, six hundred forty-four million, one hundred forty-one thousand, seven hundred sixty".