3706116960 has 1152 divisors, whose sum is σ = 16679706624. Its totient is φ = 681246720.

The previous prime is 3706116941. The next prime is 3706116961. The reversal of 3706116960 is 696116073.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3706116961) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 119552145 + ... + 119552175.

It is an arithmetic number, because the mean of its divisors is an integer number (14478912).

Almost surely, 2^3706116960 is an apocalyptic number.

3706116960 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 3706116960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8339853312).

3706116960 is an abundant number, since it is smaller than the sum of its proper divisors (12973589664).

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

3706116960 is a wasteful number, since it uses less digits than its factorization.

3706116960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 116 (or 101 counting only the distinct ones).

The product of its (nonzero) digits is 40824, while the sum is 39.

The square root of 3706116960 is about 60877.8856400253. The cubic root of 3706116960 is about 1547.5322452160.

The spelling of 3706116960 in words is "three billion, seven hundred six million, one hundred sixteen thousand, nine hundred sixty".