34130433150 has 144 divisors (see below), whose sum is σ = 101527216128. Its totient is φ = 8150472000.

The previous prime is 34130433133. The next prime is 34130433173. The reversal of 34130433150 is 5133403143.

34130433150 is a `hidden beast` number, since 3 + 41 + 304 + 3 + 315 + 0 = 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, 280195 + ... + 383105.

It is an arithmetic number, because the mean of its divisors is an integer number (705050112).

Almost surely, 2^34130433150 is an apocalyptic number.

34130433150 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 34130433150, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50763608064).

34130433150 is an abundant number, since it is smaller than the sum of its proper divisors (67396782978).

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

34130433150 is a wasteful number, since it uses less digits than its factorization.

34130433150 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 103007 (or 102999 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 27.

Adding to 34130433150 its reverse (5133403143), we get a palindrome (39263836293).

The spelling of 34130433150 in words is "thirty-four billion, one hundred thirty million, four hundred thirty-three thousand, one hundred fifty".