3778063417152 has 252 divisors, whose sum is σ = 11436123256740. Its totient is φ = 1192338468864.

The previous prime is 3778063417087. The next prime is 3778063417157. The reversal of 3778063417152 is 2517143608773.

3778063417152 is a `hidden beast` number, since 3 + 7 + 78 + 0 + 6 + 3 + 417 + 152 = 666.

3778063417152 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 689524301376 + 3088539115776 = 830376^2 + 1757424^2 .

It is a super-2 number, since 2×3778063417152² (a number of 26 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3778063417157) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 410253124 + ... + 410262332.

It is an arithmetic number, because the mean of its divisors is an integer number (45381441495).

Almost surely, 2^{3778063417152} is an apocalyptic number.

3778063417152 is a gapful number since it is divisible by the number (32) 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 3778063417152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5718061628370).

3778063417152 is an abundant number, since it is smaller than the sum of its proper divisors (7658059839588).

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

3778063417152 is a wasteful number, since it uses less digits than its factorization.

3778063417152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11238 (or 11206 counting only the distinct ones).

The product of its (nonzero) digits is 5927040, while the sum is 54.

The spelling of 3778063417152 in words is "three trillion, seven hundred seventy-eight billion, sixty-three million, four hundred seventeen thousand, one hundred fifty-two".