3648753388 has 48 divisors (see below), whose sum is σ = 7711764480. Its totient is φ = 1475629056.

The previous prime is 3648753341. The next prime is 3648753421. The reversal of 3648753388 is 8833578463.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 123381 + ... + 150067.

It is an arithmetic number, because the mean of its divisors is an integer number (160661760).

Almost surely, 2^3648753388 is an apocalyptic number.

3648753388 is a gapful number since it is divisible by the number (38) 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 3648753388, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3855882240).

3648753388 is an abundant number, since it is smaller than the sum of its proper divisors (4063011092).

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

3648753388 is a wasteful number, since it uses less digits than its factorization.

3648753388 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26974 (or 26972 counting only the distinct ones).

The product of its digits is 11612160, while the sum is 55.

The square root of 3648753388 is about 60404.9119525888. The cubic root of 3648753388 is about 1539.5064179711.

The spelling of 3648753388 in words is "three billion, six hundred forty-eight million, seven hundred fifty-three thousand, three hundred eighty-eight".