3777122280960 has 480 divisors, whose sum is σ = 15012172498752. Its totient is φ = 859751055360.

The previous prime is 3777122280929. The next prime is 3777122281027. The reversal of 3777122280960 is 690822217773.

It is a tau number, because it is divible by the number of its divisors (480).

It is a junction number, because it is equal to n+sod(n) for n = 3777122280897 and 3777122280906.

It is a congruent number.

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 47 ways as a sum of consecutive naturals, for example, 38819892 + ... + 38917068.

Almost surely, 2^{3777122280960} is an apocalyptic number.

3777122280960 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 3777122280960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7506086249376).

3777122280960 is an abundant number, since it is smaller than the sum of its proper divisors (11235050217792).

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

3777122280960 is a wasteful number, since it uses less digits than its factorization.

3777122280960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 97454 (or 97435 counting only the distinct ones).

The product of its (nonzero) digits is 3556224, while the sum is 54.

The spelling of 3777122280960 in words is "three trillion, seven hundred seventy-seven billion, one hundred twenty-two million, two hundred eighty thousand, nine hundred sixty".