34271105040 has 120 divisors (see below), whose sum is σ = 116480669760. Its totient is φ = 9028837632.

The previous prime is 34271105023. The next prime is 34271105041. The reversal of 34271105040 is 4050117243.

34271105040 is a `hidden beast` number, since 3 + 42 + 7 + 110 + 504 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (120).

It is a junction number, because it is equal to n+sod(n) for n = 34271104995 and 34271105013.

It is not an unprimeable number, because it can be changed into a prime (34271105041) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 226980 + ... + 346499.

It is an arithmetic number, because the mean of its divisors is an integer number (970672248).

Almost surely, 2^34271105040 is an apocalyptic number.

34271105040 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

34271105040 is an abundant number, since it is smaller than the sum of its proper divisors (82209564720).

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

34271105040 is a wasteful number, since it uses less digits than its factorization.

34271105040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 573581 (or 573572 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 27.

The spelling of 34271105040 in words is "thirty-four billion, two hundred seventy-one million, one hundred five thousand, forty".