3388777778833 has 2 divisors, whose sum is σ = 3388777778834. Its totient is φ = 3388777778832.

The previous prime is 3388777778773. The next prime is 3388777778863.

3388777778833 is nontrivially palindromic in base 10.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 3337680532624 + 51097246209 = 1826932^2 + 226047^2 .

It is a palprime.

It is a cyclic number.

It is not a de Polignac number, because 3388777778833 - 2¹³ = 3388777770641 is a prime.

It is a super-2 number, since 2×3388777778833² (a number of 26 digits) contains 22 as substring.

It is a zygodrome in base 10.

It is not a weakly prime, because it can be changed into another prime (3388777778863) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1694388889416 + 1694388889417.

It is an arithmetic number, because the mean of its divisors is an integer number (1694388889417).

Almost surely, 2^{3388777778833} is an apocalyptic number.

It is an amenable number.

3388777778833 is a deficient number, since it is larger than the sum of its proper divisors (1).

3388777778833 is an equidigital number, since it uses as much as digits as its factorization.

3388777778833 is an evil number, because the sum of its binary digits is even.

The product of its digits is 5576159232, while the sum is 79.

The spelling of 3388777778833 in words is "three trillion, three hundred eighty-eight billion, seven hundred seventy-seven million, seven hundred seventy-eight thousand, eight hundred thirty-three".