34140100434 has 64 divisors (see below), whose sum is σ = 79040655360. Its totient is φ = 9715749120.

The previous prime is 34140100427. The next prime is 34140100469. The reversal of 34140100434 is 43400104143.

It is a super-3 number, since 3×34140100434³ (a number of 33 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 486627 + ... + 552345.

It is an arithmetic number, because the mean of its divisors is an integer number (1235010240).

Almost surely, 2^34140100434 is an apocalyptic number.

34140100434 is a gapful number since it is divisible by the number (34) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 34140100434, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39520327680).

34140100434 is an abundant number, since it is smaller than the sum of its proper divisors (44900554926).

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

34140100434 is a wasteful number, since it uses less digits than its factorization.

34140100434 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 66215.

The product of its (nonzero) digits is 2304, while the sum is 24.

Adding to 34140100434 its reverse (43400104143), we get a palindrome (77540204577).

The spelling of 34140100434 in words is "thirty-four billion, one hundred forty million, one hundred thousand, four hundred thirty-four".