34943648761 has 32 divisors (see below), whose sum is σ = 41527500800. Its totient is φ = 29383300800.

The previous prime is 34943648759. The next prime is 34943648791. The reversal of 34943648761 is 16784634943.

34943648761 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 34943648761 - 2¹ = 34943648759 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (34943648741) 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, 8806600 + ... + 8810566.

It is an arithmetic number, because the mean of its divisors is an integer number (1297734400).

Almost surely, 2^34943648761 is an apocalyptic number.

It is an amenable number.

34943648761 is a deficient number, since it is larger than the sum of its proper divisors (6583852039).

34943648761 is an equidigital number, since it uses as much as digits as its factorization.

34943648761 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4470 (or 4456 counting only the distinct ones).

The product of its digits is 10450944, while the sum is 55.

The spelling of 34943648761 in words is "thirty-four billion, nine hundred forty-three million, six hundred forty-eight thousand, seven hundred sixty-one".