34042042760 has 64 divisors (see below), whose sum is σ = 83825038080. Its totient is φ = 12339325440.

The previous prime is 34042042753. The next prime is 34042042777. The reversal of 34042042760 is 6724024043.

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, 14129 + ... + 261311.

It is an arithmetic number, because the mean of its divisors is an integer number (1309766220).

Almost surely, 2^34042042760 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34042042760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41912519040).

34042042760 is an abundant number, since it is smaller than the sum of its proper divisors (49782995320).

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

34042042760 is a wasteful number, since it uses less digits than its factorization.

34042042760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 247518 (or 247514 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 32.

The spelling of 34042042760 in words is "thirty-four billion, forty-two million, forty-two thousand, seven hundred sixty".