3635648640 has 384 divisors, whose sum is σ = 14114580480. Its totient is φ = 855613440.

The previous prime is 3635648629. The next prime is 3635648657. The reversal of 3635648640 is 468465363.

3635648640 is a `hidden beast` number, since 3 + 6 + 3 + 564 + 86 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

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

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, 1721185 + ... + 1723295.

It is an arithmetic number, because the mean of its divisors is an integer number (36756720).

Almost surely, 2^3635648640 is an apocalyptic number.

3635648640 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 3635648640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7057290240).

3635648640 is an abundant number, since it is smaller than the sum of its proper divisors (10478931840).

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

3635648640 is a wasteful number, since it uses less digits than its factorization.

3635648640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2172 (or 2157 counting only the distinct ones).

The product of its (nonzero) digits is 1244160, while the sum is 45.

The square root of 3635648640 is about 60296.3401874442. The cubic root of 3635648640 is about 1537.6611260843.

The spelling of 3635648640 in words is "three billion, six hundred thirty-five million, six hundred forty-eight thousand, six hundred forty".