3760940160 has 256 divisors, whose sum is σ = 13489459200. Its totient is φ = 1002544128.

The previous prime is 3760940149. The next prime is 3760940173. The reversal of 3760940160 is 610490673.

3760940160 is a `hidden beast` number, since 3 + 7 + 609 + 40 + 1 + 6 + 0 = 666.

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

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 31 ways as a sum of consecutive naturals, for example, 1398337 + ... + 1401023.

It is an arithmetic number, because the mean of its divisors is an integer number (52693200).

Almost surely, 2^3760940160 is an apocalyptic number.

3760940160 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 3760940160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6744729600).

3760940160 is an abundant number, since it is smaller than the sum of its proper divisors (9728519040).

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

3760940160 is an frugal number, since it uses more digits than its factorization.

3760940160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2727 (or 2697 counting only the distinct ones).

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

The square root of 3760940160 is about 61326.5045473815. The cubic root of 3760940160 is about 1555.1256137261.

The spelling of 3760940160 in words is "three billion, seven hundred sixty million, nine hundred forty thousand, one hundred sixty".