34134104550 has 288 divisors, whose sum is σ = 105545030400. Its totient is φ = 7148044800.

The previous prime is 34134104527. The next prime is 34134104593. The reversal of 34134104550 is 5540143143.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 26439405 + ... + 26440695.

It is an arithmetic number, because the mean of its divisors is an integer number (366475800).

Almost surely, 2^34134104550 is an apocalyptic number.

34134104550 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 34134104550, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52772515200).

34134104550 is an abundant number, since it is smaller than the sum of its proper divisors (71410925850).

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

34134104550 is a wasteful number, since it uses less digits than its factorization.

34134104550 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1488 (or 1470 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 30.

Adding to 34134104550 its reverse (5540143143), we get a palindrome (39674247693).

The spelling of 34134104550 in words is "thirty-four billion, one hundred thirty-four million, one hundred four thousand, five hundred fifty".