3760572960 has 192 divisors, whose sum is σ = 13211372160. Its totient is φ = 999060480.

The previous prime is 3760572953. The next prime is 3760572961. The reversal of 3760572960 is 692750673.

3760572960 is a `hidden beast` number, since 3 + 76 + 0 + 572 + 9 + 6 + 0 = 666.

It is a super-3 number, since 3×3760572960³ (a number of 30 digits) contains 333 as substring.

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 (3760572961) by changing a digit.

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, 1264275 + ... + 1267245.

It is an arithmetic number, because the mean of its divisors is an integer number (68809230).

Almost surely, 2^3760572960 is an apocalyptic number.

3760572960 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 3760572960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6605686080).

3760572960 is an abundant number, since it is smaller than the sum of its proper divisors (9450799200).

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

3760572960 is a wasteful number, since it uses less digits than its factorization.

3760572960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3288 (or 3274 counting only the distinct ones).

The product of its (nonzero) digits is 476280, while the sum is 45.

The square root of 3760572960 is about 61323.5106627140. The cubic root of 3760572960 is about 1555.0750004320.

The spelling of 3760572960 in words is "three billion, seven hundred sixty million, five hundred seventy-two thousand, nine hundred sixty".