3708840960 has 528 divisors, whose sum is σ = 14592195072. Its totient is φ = 895795200.

The previous prime is 3708840959. The next prime is 3708840977. The reversal of 3708840960 is 690488073.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (528).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a nialpdrome in base 12.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 13685625 + ... + 13685895.

Almost surely, 2^3708840960 is an apocalyptic number.

3708840960 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 3708840960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7296097536).

3708840960 is an abundant number, since it is smaller than the sum of its proper divisors (10883354112).

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

3708840960 is a wasteful number, since it uses less digits than its factorization.

3708840960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 322 (or 292 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The square root of 3708840960 is about 60900.2541866617. The cubic root of 3708840960 is about 1547.9112983247.

The spelling of 3708840960 in words is "three billion, seven hundred eight million, eight hundred forty thousand, nine hundred sixty".