34376443761 has 32 divisors (see below), whose sum is σ = 50474128896. Its totient is φ = 20809918800.

The previous prime is 34376443687. The next prime is 34376443769. The reversal of 34376443761 is 16734467343.

34376443761 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 34376443761 - 2⁹ = 34376443249 is a prime.

It is a Smith number, since the sum of its digits (48) coincides with the sum of the digits of its prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 34376443761.

It is not an unprimeable number, because it can be changed into a prime (34376443769) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3776826 + ... + 3785916.

It is an arithmetic number, because the mean of its divisors is an integer number (1577316528).

Almost surely, 2^34376443761 is an apocalyptic number.

It is an amenable number.

34376443761 is a deficient number, since it is larger than the sum of its proper divisors (16097685135).

34376443761 is an equidigital number, since it uses as much as digits as its factorization.

34376443761 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10074 (or 10052 counting only the distinct ones).

The product of its digits is 3048192, while the sum is 48.

The spelling of 34376443761 in words is "thirty-four billion, three hundred seventy-six million, four hundred forty-three thousand, seven hundred sixty-one".