3728612160 has 672 divisors, whose sum is σ = 16216042752. Its totient is φ = 765296640.

The previous prime is 3728612149. The next prime is 3728612171. The reversal of 3728612160 is 612168273.

3728612160 is a `hidden beast` number, since 3 + 7 + 28 + 612 + 16 + 0 = 666.

3728612160 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (3728612149) and next prime (3728612171).

It is a tau number, because it is divible by the number of its divisors (672).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 10745107 + ... + 10745453.

It is an arithmetic number, because the mean of its divisors is an integer number (24131016).

Almost surely, 2^3728612160 is an apocalyptic number.

3728612160 is a gapful number since it is divisible by the number (30) 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 3728612160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8108021376).

3728612160 is an abundant number, since it is smaller than the sum of its proper divisors (12487430592).

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

3728612160 is a wasteful number, since it uses less digits than its factorization.

3728612160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 431 (or 418 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 3728612160 is about 61062.3628759975. The cubic root of 3728612160 is about 1550.6569757470.

The spelling of 3728612160 in words is "three billion, seven hundred twenty-eight million, six hundred twelve thousand, one hundred sixty".