3735865728 has 384 divisors, whose sum is σ = 13302432000. Its totient is φ = 982388736.

The previous prime is 3735865699. The next prime is 3735865789. The reversal of 3735865728 is 8275685373.

3735865728 is a `hidden beast` number, since 3 + 7 + 3 + 586 + 57 + 2 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5668663 + ... + 5669321.

It is an arithmetic number, because the mean of its divisors is an integer number (34641750).

Almost surely, 2^3735865728 is an apocalyptic number.

3735865728 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 3735865728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6651216000).

3735865728 is an abundant number, since it is smaller than the sum of its proper divisors (9566566272).

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

3735865728 is a wasteful number, since it uses less digits than its factorization.

3735865728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 742 (or 727 counting only the distinct ones).

The product of its digits is 8467200, while the sum is 54.

The square root of 3735865728 is about 61121.7287713625. The cubic root of 3735865728 is about 1551.6618634874.

The spelling of 3735865728 in words is "three billion, seven hundred thirty-five million, eight hundred sixty-five thousand, seven hundred twenty-eight".