3720633728 has 64 divisors (see below), whose sum is σ = 8525364000. Its totient is φ = 1584340992.

The previous prime is 3720633703. The next prime is 3720633743. The reversal of 3720633728 is 8273360273.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-3 number, since 3×3720633728³ (a number of 30 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 127448 + ... + 153896.

Almost surely, 2^3720633728 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 3720633728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4262682000).

3720633728 is an abundant number, since it is smaller than the sum of its proper divisors (4804730272).

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

3720633728 is a wasteful number, since it uses less digits than its factorization.

3720633728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26627 (or 26615 counting only the distinct ones).

The product of its (nonzero) digits is 254016, while the sum is 41.

The square root of 3720633728 is about 60996.9976966080. The cubic root of 3720633728 is about 1549.5501612405.

The spelling of 3720633728 in words is "three billion, seven hundred twenty million, six hundred thirty-three thousand, seven hundred twenty-eight".