3776065413120 has 2688 divisors, whose sum is σ = 18273802659840. Its totient is φ = 722369249280.

The previous prime is 3776065413101. The next prime is 3776065413203. The reversal of 3776065413120 is 213145606773.

3776065413120 is a `hidden beast` number, since 3 + 7 + 7 + 606 + 5 + 4 + 1 + 31 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2688).

It is a super-2 number, since 2×3776065413120² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 9963233091 + ... + 9963233469.

It is an arithmetic number, because the mean of its divisors is an integer number (6798289680).

Almost surely, 2^{3776065413120} is an apocalyptic number.

3776065413120 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 3776065413120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9136901329920).

3776065413120 is an abundant number, since it is smaller than the sum of its proper divisors (14497737246720).

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

3776065413120 is a wasteful number, since it uses less digits than its factorization.

3776065413120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 456 (or 420 counting only the distinct ones).

The product of its (nonzero) digits is 635040, while the sum is 45.

The spelling of 3776065413120 in words is "three trillion, seven hundred seventy-six billion, sixty-five million, four hundred thirteen thousand, one hundred twenty".