3814266026268 has 480 divisors, whose sum is σ = 10849961041920. Its totient is φ = 1165366984320.

The previous prime is 3814266026237. The next prime is 3814266026287. The reversal of 3814266026268 is 8626206624183.

It is a happy number.

3814266026268 is a `hidden beast` number, since 3 + 8 + 1 + 4 + 2 + 6 + 6 + 0 + 2 + 626 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 8167592971 + ... + 8167593437.

It is an arithmetic number, because the mean of its divisors is an integer number (22604085504).

Almost surely, 2^{3814266026268} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3814266026268, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5424980520960).

3814266026268 is an abundant number, since it is smaller than the sum of its proper divisors (7035695015652).

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

3814266026268 is a wasteful number, since it uses less digits than its factorization.

3814266026268 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 979 (or 968 counting only the distinct ones).

The product of its (nonzero) digits is 7962624, while the sum is 54.

The spelling of 3814266026268 in words is "three trillion, eight hundred fourteen billion, two hundred sixty-six million, twenty-six thousand, two hundred sixty-eight".