3753109728 has 144 divisors (see below), whose sum is σ = 11102023296. Its totient is φ = 1247218560.

The previous prime is 3753109727. The next prime is 3753109739. The reversal of 3753109728 is 8279013573.

It is a happy number.

3753109728 is a `hidden beast` number, since 3 + 7 + 531 + 0 + 97 + 28 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3753109727) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3817525 + ... + 3818507.

It is an arithmetic number, because the mean of its divisors is an integer number (77097384).

Almost surely, 2^3753109728 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3753109728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5551011648).

3753109728 is an abundant number, since it is smaller than the sum of its proper divisors (7348913568).

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

3753109728 is an equidigital number, since it uses as much as digits as its factorization.

3753109728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1499 (or 1479 counting only the distinct ones).

The product of its (nonzero) digits is 317520, while the sum is 45.

The square root of 3753109728 is about 61262.6291306535. The cubic root of 3753109728 is about 1554.0455853416.

The spelling of 3753109728 in words is "three billion, seven hundred fifty-three million, one hundred nine thousand, seven hundred twenty-eight".