3713776077456 has 225 divisors, whose sum is σ = 10843339902681. Its totient is φ = 1227125801088.

The previous prime is 3713776077443. The next prime is 3713776077463. The reversal of 3713776077456 is 6547706773173.

The square root of 3713776077456 is 1927116.

It is a perfect power (a square), and thus also a powerful number.

3713776077456 is a `hidden beast` number, since 3 + 7 + 13 + 7 + 7 + 607 + 7 + 4 + 5 + 6 = 666.

It can be written as a sum of positive squares in only one way, i.e., 244348307856 + 3469427769600 = 494316^2 + 1862640^2 .

It is a super-2 number, since 2×3713776077456² (a number of 26 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 3713776077393 and 3713776077402.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 13805858890 + ... + 13805859158.

Almost surely, 2^{3713776077456} is an apocalyptic number.

3713776077456 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

3713776077456 is the 1927116-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3713776077456

3713776077456 is an abundant number, since it is smaller than the sum of its proper divisors (7129563825225).

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

3713776077456 is an frugal number, since it uses more digits than its factorization.

3713776077456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 956 (or 473 counting only the distinct ones).

The product of its (nonzero) digits is 108909360, while the sum is 63.

The spelling of 3713776077456 in words is "three trillion, seven hundred thirteen billion, seven hundred seventy-six million, seventy-seven thousand, four hundred fifty-six".