34095840381072 has 60 divisors (see below), whose sum is σ = 96845191756560. Its totient is φ = 11195649077184.

The previous prime is 34095840381023. The next prime is 34095840381077. The reversal of 34095840381072 is 27018304859043.

It is a happy number.

34095840381072 is a `hidden beast` number, since 3 + 4 + 0 + 95 + 8 + 403 + 81 + 0 + 72 = 666.

It is not an unprimeable number, because it can be changed into a prime (34095840381077) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1766980422 + ... + 1766999717.

It is an arithmetic number, because the mean of its divisors is an integer number (1614086529276).

Almost surely, 2^{34095840381072} is an apocalyptic number.

It is an amenable number.

34095840381072 is an abundant number, since it is smaller than the sum of its proper divisors (62749351375488).

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

34095840381072 is a wasteful number, since it uses less digits than its factorization.

34095840381072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3533980220 (or 3533980211 counting only the distinct ones).

The product of its (nonzero) digits is 5806080, while the sum is 54.

The spelling of 34095840381072 in words is "thirty-four trillion, ninety-five billion, eight hundred forty million, three hundred eighty-one thousand, seventy-two".