3760975680 has 448 divisors, whose sum is σ = 15091550208. Its totient is φ = 770826240.

The previous prime is 3760975661. The next prime is 3760975711. The reversal of 3760975680 is 865790673.

It is a tau number, because it is divible by the number of its divisors (448).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 6135054 + ... + 6135666.

It is an arithmetic number, because the mean of its divisors is an integer number (33686496).

Almost surely, 2^3760975680 is an apocalyptic number.

3760975680 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 3760975680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7545775104).

3760975680 is an abundant number, since it is smaller than the sum of its proper divisors (11330574528).

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

3760975680 is a wasteful number, since it uses less digits than its factorization.

3760975680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 734 (or 724 counting only the distinct ones).

The product of its (nonzero) digits is 1905120, while the sum is 51.

The square root of 3760975680 is about 61326.7941441586. The cubic root of 3760975680 is about 1555.1305094778.

The spelling of 3760975680 in words is "three billion, seven hundred sixty million, nine hundred seventy-five thousand, six hundred eighty".