3636800640 has 768 divisors, whose sum is σ = 15109545600. Its totient is φ = 819486720.

The previous prime is 3636800623. The next prime is 3636800719. The reversal of 3636800640 is 460086363.

3636800640 is a `hidden beast` number, since 3 + 6 + 3 + 6 + 8 + 0 + 0 + 640 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 3636800595 and 3636800604.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 68618854 + ... + 68618906.

Almost surely, 2^3636800640 is an apocalyptic number.

3636800640 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 3636800640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7554772800).

3636800640 is an abundant number, since it is smaller than the sum of its proper divisors (11472744960).

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

3636800640 is a wasteful number, since it uses less digits than its factorization.

3636800640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 130 (or 93 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 36.

The square root of 3636800640 is about 60305.8922494311. The cubic root of 3636800640 is about 1537.8235178819.

The spelling of 3636800640 in words is "three billion, six hundred thirty-six million, eight hundred thousand, six hundred forty".