34115240000430 has 24 divisors (see below), whose sum is σ = 88699624001352. Its totient is φ = 9097397333424.

The previous prime is 34115240000407. The next prime is 34115240000453. The reversal of 34115240000430 is 3400004251143.

It is a happy number.

34115240000430 is a `hidden beast` number, since 3 + 41 + 152 + 40 + 0 + 0 + 0 + 430 = 666.

It is an interprime number because it is at equal distance from previous prime (34115240000407) and next prime (34115240000453).

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 34115240000394 and 34115240000403.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 189529111024 + ... + 189529111203.

It is an arithmetic number, because the mean of its divisors is an integer number (3695817666723).

Almost surely, 2^{34115240000430} is an apocalyptic number.

34115240000430 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

34115240000430 is an abundant number, since it is smaller than the sum of its proper divisors (54584384000922).

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

34115240000430 is a wasteful number, since it uses less digits than its factorization.

34115240000430 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 379058222240 (or 379058222237 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

Adding to 34115240000430 its reverse (3400004251143), we get a palindrome (37515244251573).

The spelling of 34115240000430 in words is "thirty-four trillion, one hundred fifteen billion, two hundred forty million, four hundred thirty", and thus it is an aban number.