3728706960 has 120 divisors (see below), whose sum is σ = 12705436800. Its totient is φ = 903921920.

The previous prime is 3728706913. The next prime is 3728706997. The reversal of 3728706960 is 696078273.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 35160 + ... + 93239.

It is an arithmetic number, because the mean of its divisors is an integer number (105878640).

Almost surely, 2^3728706960 is an apocalyptic number.

3728706960 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3728706960 is an abundant number, since it is smaller than the sum of its proper divisors (8976729840).

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

3728706960 is a wasteful number, since it uses less digits than its factorization.

3728706960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 128437 (or 128420 counting only the distinct ones).

The product of its (nonzero) digits is 762048, while the sum is 48.

The square root of 3728706960 is about 61063.1391266450. The cubic root of 3728706960 is about 1550.6701174585.

The spelling of 3728706960 in words is "three billion, seven hundred twenty-eight million, seven hundred six thousand, nine hundred sixty".