34323131430 has 192 divisors, whose sum is σ = 106946136000. Its totient is φ = 7810338816.

The previous prime is 34323131429. The next prime is 34323131443. The reversal of 34323131430 is 3413132343.

34323131430 is a `hidden beast` number, since 343 + 2 + 3 + 1 + 314 + 3 + 0 = 666.

It is a super-2 number, since 2×34323131430² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 34323131394 and 34323131403.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3024006 + ... + 3035334.

It is an arithmetic number, because the mean of its divisors is an integer number (557011125).

Almost surely, 2^34323131430 is an apocalyptic number.

34323131430 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 34323131430, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53473068000).

34323131430 is an abundant number, since it is smaller than the sum of its proper divisors (72623004570).

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

34323131430 is a wasteful number, since it uses less digits than its factorization.

34323131430 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11588 (or 11575 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 27.

Adding to 34323131430 its reverse (3413132343), we get a palindrome (37736263773).

The spelling of 34323131430 in words is "thirty-four billion, three hundred twenty-three million, one hundred thirty-one thousand, four hundred thirty".