34107142524 has 384 divisors, whose sum is σ = 104526643200. Its totient is φ = 8416742400.

The previous prime is 34107142481. The next prime is 34107142547. The reversal of 34107142524 is 42524170143.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 171392577 + ... + 171392775.

It is an arithmetic number, because the mean of its divisors is an integer number (272204800).

Almost surely, 2^34107142524 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 34107142524, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52263321600).

34107142524 is an abundant number, since it is smaller than the sum of its proper divisors (70419500676).

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

34107142524 is a wasteful number, since it uses less digits than its factorization.

34107142524 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 401 (or 399 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 33.

The spelling of 34107142524 in words is "thirty-four billion, one hundred seven million, one hundred forty-two thousand, five hundred twenty-four".