3641657760 has 288 divisors, whose sum is σ = 13671141120. Its totient is φ = 877123584.

The previous prime is 3641657753. The next prime is 3641657791. The reversal of 3641657760 is 677561463.

3641657760 is a `hidden beast` number, since 3 + 6 + 4 + 16 + 577 + 60 = 666.

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 an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 877771 + ... + 881909.

It is an arithmetic number, because the mean of its divisors is an integer number (47469240).

Almost surely, 2^3641657760 is an apocalyptic number.

3641657760 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 3641657760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6835570560).

3641657760 is an abundant number, since it is smaller than the sum of its proper divisors (10029483360).

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

3641657760 is a wasteful number, since it uses less digits than its factorization.

3641657760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4220 (or 4209 counting only the distinct ones).

The product of its (nonzero) digits is 635040, while the sum is 45.

The square root of 3641657760 is about 60346.1495043387. The cubic root of 3641657760 is about 1538.5078254484.

The spelling of 3641657760 in words is "three billion, six hundred forty-one million, six hundred fifty-seven thousand, seven hundred sixty".