3776378256 has 180 divisors, whose sum is σ = 12352241772. Its totient is φ = 1073866752.

The previous prime is 3776378233. The next prime is 3776378261. The reversal of 3776378256 is 6528736773.

It can be written as a sum of positive squares in 2 ways, for example, as 1244678400 + 2531699856 = 35280^2 + 50316^2 .

It is a super-2 number, since 2×3776378256² = 28522065464779203072, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1642900 + ... + 1645196.

Almost surely, 2^3776378256 is an apocalyptic number.

3776378256 is a gapful number since it is divisible by the number (36) 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 3776378256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6176120886).

3776378256 is an abundant number, since it is smaller than the sum of its proper divisors (8575863516).

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

3776378256 is a wasteful number, since it uses less digits than its factorization.

3776378256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2558 (or 2542 counting only the distinct ones).

The product of its digits is 8890560, while the sum is 54.

The square root of 3776378256 is about 61452.2437019186. The cubic root of 3776378256 is about 1557.2505614088.

The spelling of 3776378256 in words is "three billion, seven hundred seventy-six million, three hundred seventy-eight thousand, two hundred fifty-six".