3760481760 has 192 divisors, whose sum is σ = 13576356864. Its totient is φ = 857088000.

The previous prime is 3760481743. The next prime is 3760481771. The reversal of 3760481760 is 671840673.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1345965 + ... + 1348755.

It is an arithmetic number, because the mean of its divisors is an integer number (70710192).

Almost surely, 2^3760481760 is an apocalyptic number.

3760481760 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 3760481760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6788178432).

3760481760 is an abundant number, since it is smaller than the sum of its proper divisors (9815875104).

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

3760481760 is a wasteful number, since it uses less digits than its factorization.

3760481760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3217 (or 3209 counting only the distinct ones).

The product of its (nonzero) digits is 169344, while the sum is 42.

The square root of 3760481760 is about 61322.7670608560. The cubic root of 3760481760 is about 1555.0624292992.

The spelling of 3760481760 in words is "three billion, seven hundred sixty million, four hundred eighty-one thousand, seven hundred sixty".