34130232354000 has 160 divisors (see below), whose sum is σ = 110049510130560. Its totient is φ = 9100267008000.

The previous prime is 34130232353969. The next prime is 34130232354061. The reversal of 34130232354000 is 45323203143.

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 31 ways as a sum of consecutive naturals, for example, 48617491 + ... + 49314509.

It is an arithmetic number, because the mean of its divisors is an integer number (687809438316).

Almost surely, 2^{34130232354000} is an apocalyptic number.

34130232354000 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34130232354000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55024755065280).

34130232354000 is an abundant number, since it is smaller than the sum of its proper divisors (75919277776560).

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

34130232354000 is a wasteful number, since it uses less digits than its factorization.

34130232354000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 705206 (or 705190 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 30.

Adding to 34130232354000 its reverse (45323203143), we get a palindrome (34175555557143).

The spelling of 34130232354000 in words is "thirty-four trillion, one hundred thirty billion, two hundred thirty-two million, three hundred fifty-four thousand".