3648709432320 has 88 divisors (see below), whose sum is σ = 11670169124064. Its totient is φ = 972989177856.

The previous prime is 3648709432297. The next prime is 3648709432321. The reversal of 3648709432320 is 232349078463.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3648709432321) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 118757734 + ... + 118788453.

It is an arithmetic number, because the mean of its divisors is an integer number (132615558228).

Almost surely, 2^{3648709432320} is an apocalyptic number.

3648709432320 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3648709432320 is an abundant number, since it is smaller than the sum of its proper divisors (8021459691744).

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

3648709432320 is a wasteful number, since it uses less digits than its factorization.

3648709432320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 237546215 (or 237546197 counting only the distinct ones).

The product of its (nonzero) digits is 5225472, while the sum is 51.

The spelling of 3648709432320 in words is "three trillion, six hundred forty-eight billion, seven hundred nine million, four hundred thirty-two thousand, three hundred twenty".