3802729728 has 144 divisors (see below), whose sum is σ = 12247320960. Its totient is φ = 1022558208.

The previous prime is 3802729727. The next prime is 3802729729. The reversal of 3802729728 is 8279272083.

It is an interprime number because it is at equal distance from previous prime (3802729727) and next prime (3802729729).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3802729727) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 70588 + ... + 112196.

It is an arithmetic number, because the mean of its divisors is an integer number (85050840).

Almost surely, 2^3802729728 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 3802729728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6123660480).

3802729728 is an abundant number, since it is smaller than the sum of its proper divisors (8444591232).

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

3802729728 is a wasteful number, since it uses less digits than its factorization.

3802729728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41652 (or 41638 counting only the distinct ones).

The product of its (nonzero) digits is 677376, while the sum is 48.

The square root of 3802729728 is about 61666.2770726432. The cubic root of 3802729728 is about 1560.8643205074.

The spelling of 3802729728 in words is "three billion, eight hundred two million, seven hundred twenty-nine thousand, seven hundred twenty-eight".