3438110377768 has 64 divisors (see below), whose sum is σ = 7045793092800. Its totient is φ = 1559825786880.

The previous prime is 3438110377753. The next prime is 3438110377783. The reversal of 3438110377768 is 8677730118343.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (3438110377753) and next prime (3438110377783).

It is a hoax number, since the sum of its digits (58) coincides with the sum of the digits of its distinct prime factors.

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 15 ways as a sum of consecutive naturals, for example, 109502680 + ... + 109534072.

It is an arithmetic number, because the mean of its divisors is an integer number (110090517075).

Almost surely, 2^{3438110377768} is an apocalyptic number.

It is an amenable number.

3438110377768 is an abundant number, since it is smaller than the sum of its proper divisors (3607682715032).

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

3438110377768 is a wasteful number, since it uses less digits than its factorization.

3438110377768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33722 (or 33718 counting only the distinct ones).

The product of its (nonzero) digits is 14224896, while the sum is 58.

The spelling of 3438110377768 in words is "three trillion, four hundred thirty-eight billion, one hundred ten million, three hundred seventy-seven thousand, seven hundred sixty-eight".