34106835973 has 24 divisors (see below), whose sum is σ = 42112272600. Its totient is φ = 27447211008.

The previous prime is 34106835947. The next prime is 34106836003. The reversal of 34106835973 is 37953860143.

It can be written as a sum of positive squares in 4 ways, for example, as 8799753249 + 25307082724 = 93807^2 + 159082^2 .

It is not a de Polignac number, because 34106835973 - 2⁹ = 34106835461 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (49).

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34106835923) 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, 290643 + ... + 390751.

It is an arithmetic number, because the mean of its divisors is an integer number (1754678025).

Almost surely, 2^34106835973 is an apocalyptic number.

It is an amenable number.

34106835973 is a deficient number, since it is larger than the sum of its proper divisors (8005436627).

34106835973 is a wasteful number, since it uses less digits than its factorization.

34106835973 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 100549 (or 100542 counting only the distinct ones).

The product of its (nonzero) digits is 1632960, while the sum is 49.

The spelling of 34106835973 in words is "thirty-four billion, one hundred six million, eight hundred thirty-five thousand, nine hundred seventy-three".