3802617728 has 128 divisors (see below), whose sum is σ = 9625405440. Its totient is φ = 1455667200.

The previous prime is 3802617727. The next prime is 3802617769. The reversal of 3802617728 is 8277162083.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3802617727) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 355823 + ... + 366353.

It is an arithmetic number, because the mean of its divisors is an integer number (75198480).

Almost surely, 2^3802617728 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 3802617728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4812702720).

3802617728 is an abundant number, since it is smaller than the sum of its proper divisors (5822787712).

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

3802617728 is a wasteful number, since it uses less digits than its factorization.

3802617728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10596 (or 10584 counting only the distinct ones).

The product of its (nonzero) digits is 225792, while the sum is 44.

The square root of 3802617728 is about 61665.3689521112. The cubic root of 3802617728 is about 1560.8489965575.

The spelling of 3802617728 in words is "three billion, eight hundred two million, six hundred seventeen thousand, seven hundred twenty-eight".