3706940160 has 864 divisors, whose sum is σ = 16777152000. Its totient is φ = 766402560.

The previous prime is 3706940137. The next prime is 3706940161. The reversal of 3706940160 is 610496073.

3706940160 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (864).

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

It is a nialpdrome in base 12.

It is not an unprimeable number, because it can be changed into a prime (3706940161) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 18627741 + ... + 18627939.

It is an arithmetic number, because the mean of its divisors is an integer number (19418000).

Almost surely, 2^3706940160 is an apocalyptic number.

3706940160 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 3706940160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8388576000).

3706940160 is an abundant number, since it is smaller than the sum of its proper divisors (13070211840).

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

3706940160 is a wasteful number, since it uses less digits than its factorization.

3706940160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 254 (or 227 counting only the distinct ones).

The product of its (nonzero) digits is 27216, while the sum is 36.

The square root of 3706940160 is about 60884.6463404363. The cubic root of 3706940160 is about 1547.6468156454.

The spelling of 3706940160 in words is "three billion, seven hundred six million, nine hundred forty thousand, one hundred sixty".