3760796160 has 720 divisors, whose sum is σ = 15282146880. Its totient is φ = 851558400.

The previous prime is 3760796159. The next prime is 3760796161. The reversal of 3760796160 is 616970673.

3760796160 is a `hidden beast` number, since 37 + 607 + 9 + 6 + 1 + 6 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (3760796159) and next prime (3760796161).

It is a tau number, because it is divible by the number of its divisors (720).

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

It is not an unprimeable number, because it can be changed into a prime (3760796161) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 52968925 + ... + 52968995.

It is an arithmetic number, because the mean of its divisors is an integer number (21225204).

Almost surely, 2^3760796160 is an apocalyptic number.

3760796160 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 3760796160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7641073440).

3760796160 is an abundant number, since it is smaller than the sum of its proper divisors (11521350720).

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

3760796160 is a wasteful number, since it uses less digits than its factorization.

3760796160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 141 (or 111 counting only the distinct ones).

The product of its (nonzero) digits is 285768, while the sum is 45.

The square root of 3760796160 is about 61325.3304923830. The cubic root of 3760796160 is about 1555.1057657681.

The spelling of 3760796160 in words is "three billion, seven hundred sixty million, seven hundred ninety-six thousand, one hundred sixty".