34106761040 has 80 divisors (see below), whose sum is σ = 86542050240. Its totient is φ = 12397455360.

The previous prime is 34106760983. The next prime is 34106761081. The reversal of 34106761040 is 4016760143.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×34106761040² (a number of 22 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 34106760988 and 34106761006.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2712047 + ... + 2724593.

It is an arithmetic number, because the mean of its divisors is an integer number (1081775628).

Almost surely, 2^34106761040 is an apocalyptic number.

It is an amenable number.

34106761040 is an abundant number, since it is smaller than the sum of its proper divisors (52435289200).

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

34106761040 is a wasteful number, since it uses less digits than its factorization.

34106761040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15660 (or 15654 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 32.

The spelling of 34106761040 in words is "thirty-four billion, one hundred six million, seven hundred sixty-one thousand, forty".