3829112720 has 40 divisors (see below), whose sum is σ = 8905271544. Its totient is φ = 1531200512.

The previous prime is 3829112717. The next prime is 3829112737. The reversal of 3829112720 is 272119283.

It can be written as a sum of positive squares in 4 ways, for example, as 473344 + 3828639376 = 688^2 + 61876^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 501572 + ... + 509148.

Almost surely, 2^3829112720 is an apocalyptic number.

It is an amenable number.

3829112720 is an abundant number, since it is smaller than the sum of its proper divisors (5076158824).

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

3829112720 is a wasteful number, since it uses less digits than its factorization.

3829112720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13907 (or 13901 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 35.

The square root of 3829112720 is about 61879.8248219886. The cubic root of 3829112720 is about 1564.4657160150.

The spelling of 3829112720 in words is "three billion, eight hundred twenty-nine million, one hundred twelve thousand, seven hundred twenty".