34095761052 has 48 divisors (see below), whose sum is σ = 81211251072. Its totient is φ = 11130863040.

The previous prime is 34095761033. The next prime is 34095761053. The reversal of 34095761052 is 25016759043.

It is a junction number, because it is equal to n+sod(n) for n = 34095760995 and 34095761013.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34095761053) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 16527 + ... + 261657.

It is an arithmetic number, because the mean of its divisors is an integer number (1691901064).

Almost surely, 2^34095761052 is an apocalyptic number.

It is an amenable number.

34095761052 is an abundant number, since it is smaller than the sum of its proper divisors (47115490020).

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

34095761052 is a wasteful number, since it uses less digits than its factorization.

34095761052 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 245378 (or 245376 counting only the distinct ones).

The product of its (nonzero) digits is 226800, while the sum is 42.

The spelling of 34095761052 in words is "thirty-four billion, ninety-five million, seven hundred sixty-one thousand, fifty-two".