3728412072 has 128 divisors (see below), whose sum is σ = 12912307200. Its totient is φ = 968414400.

The previous prime is 3728412059. The next prime is 3728412073. The reversal of 3728412072 is 2702148273.

3728412072 is a `hidden beast` number, since 372 + 84 + 1 + 207 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (3728412073) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 95454 + ... + 128717.

It is an arithmetic number, because the mean of its divisors is an integer number (100877400).

Almost surely, 2^3728412072 is an apocalyptic number.

It is an amenable number.

3728412072 is an abundant number, since it is smaller than the sum of its proper divisors (9183895128).

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

3728412072 is a wasteful number, since it uses less digits than its factorization.

3728412072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 224204 (or 224194 counting only the distinct ones).

The product of its (nonzero) digits is 37632, while the sum is 36.

The square root of 3728412072 is about 61060.7244634389. The cubic root of 3728412072 is about 1550.6292376871.

The spelling of 3728412072 in words is "three billion, seven hundred twenty-eight million, four hundred twelve thousand, seventy-two".