3760450560 has 264 divisors, whose sum is σ = 13207571520. Its totient is φ = 989134848.

The previous prime is 3760450523. The next prime is 3760450579. The reversal of 3760450560 is 650540673.

3760450560 is a `hidden beast` number, since 37 + 60 + 4 + 5 + 0 + 560 = 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 23 ways as a sum of consecutive naturals, for example, 3639804 + ... + 3640836.

It is an arithmetic number, because the mean of its divisors is an integer number (50028680).

Almost surely, 2^3760450560 is an apocalyptic number.

3760450560 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 3760450560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6603785760).

3760450560 is an abundant number, since it is smaller than the sum of its proper divisors (9447120960).

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

3760450560 is a wasteful number, since it uses less digits than its factorization.

3760450560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1143 (or 1122 counting only the distinct ones).

The product of its (nonzero) digits is 75600, while the sum is 36.

The square root of 3760450560 is about 61322.5126686766. The cubic root of 3760450560 is about 1555.0581286018.

The spelling of 3760450560 in words is "three billion, seven hundred sixty million, four hundred fifty thousand, five hundred sixty".