3776945760 has 960 divisors, whose sum is σ = 16860856320. Its totient is φ = 776355840.

The previous prime is 3776945737. The next prime is 3776945771. The reversal of 3776945760 is 675496773.

3776945760 is a `hidden beast` number, since 3 + 7 + 7 + 69 + 4 + 576 + 0 = 666.

3776945760 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 3776945697 and 3776945706.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 47809401 + ... + 47809479.

It is an arithmetic number, because the mean of its divisors is an integer number (17563392).

Almost surely, 2^3776945760 is an apocalyptic number.

3776945760 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 3776945760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8430428160).

3776945760 is an abundant number, since it is smaller than the sum of its proper divisors (13083910560).

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

3776945760 is a wasteful number, since it uses less digits than its factorization.

3776945760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 161 (or 144 counting only the distinct ones).

The product of its (nonzero) digits is 6667920, while the sum is 54.

The square root of 3776945760 is about 61456.8609676739. The cubic root of 3776945760 is about 1557.3285639814.

The spelling of 3776945760 in words is "three billion, seven hundred seventy-six million, nine hundred forty-five thousand, seven hundred sixty".