34501123008 has 504 divisors, whose sum is σ = 118353480336. Its totient is φ = 9561784320.

The previous prime is 34501122983. The next prime is 34501123051. The reversal of 34501123008 is 80032110543.

It is a happy number.

34501123008 is a `hidden beast` number, since 34 + 501 + 123 + 0 + 0 + 8 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 43838391 + ... + 43839177.

It is an arithmetic number, because the mean of its divisors is an integer number (234828334).

Almost surely, 2^34501123008 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 34501123008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59176740168).

34501123008 is an abundant number, since it is smaller than the sum of its proper divisors (83852357328).

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

34501123008 is a wasteful number, since it uses less digits than its factorization.

34501123008 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 881 (or 857 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The spelling of 34501123008 in words is "thirty-four billion, five hundred one million, one hundred twenty-three thousand, eight".