3760768000 has 176 divisors, whose sum is σ = 10239061248. Its totient is φ = 1367040000.

The previous prime is 3760767991. The next prime is 3760768049. The reversal of 3760768000 is 8670673.

It is a tau number, because it is divible by the number of its divisors (176).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1406665 + ... + 1409335.

Almost surely, 2^3760768000 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3760768000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5119530624).

3760768000 is an abundant number, since it is smaller than the sum of its proper divisors (6478293248).

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

3760768000 is a wasteful number, since it uses less digits than its factorization.

3760768000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2717 (or 2689 counting only the distinct ones).

The product of its (nonzero) digits is 42336, while the sum is 37.

The square root of 3760768000 is about 61325.1008967780. The cubic root of 3760768000 is about 1555.1018843304.

The spelling of 3760768000 in words is "three billion, seven hundred sixty million, seven hundred sixty-eight thousand".