3641873760 has 288 divisors, whose sum is σ = 14252958720. Its totient is φ = 829522944.

The previous prime is 3641873731. The next prime is 3641873771. The reversal of 3641873760 is 673781463.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

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 47 ways as a sum of consecutive naturals, for example, 4424709 + ... + 4425531.

It is an arithmetic number, because the mean of its divisors is an integer number (49489440).

Almost surely, 2^3641873760 is an apocalyptic number.

3641873760 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 3641873760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7126479360).

3641873760 is an abundant number, since it is smaller than the sum of its proper divisors (10611084960).

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

3641873760 is a wasteful number, since it uses less digits than its factorization.

3641873760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1290 (or 1279 counting only the distinct ones).

The product of its (nonzero) digits is 508032, while the sum is 45.

The square root of 3641873760 is about 60347.9391528824. The cubic root of 3641873760 is about 1538.5382430166.

The spelling of 3641873760 in words is "three billion, six hundred forty-one million, eight hundred seventy-three thousand, seven hundred sixty".