34540022430 has 96 divisors (see below), whose sum is σ = 93801052800. Its totient is φ = 9144319392.

The previous prime is 34540022381. The next prime is 34540022437. The reversal of 34540022430 is 3422004543.

34540022430 is a `hidden beast` number, since 3 + 4 + 5 + 400 + 224 + 30 = 666.

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 = 34540022394 and 34540022403.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34540022437) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 286641 + ... + 388899.

It is an arithmetic number, because the mean of its divisors is an integer number (977094300).

Almost surely, 2^34540022430 is an apocalyptic number.

34540022430 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 34540022430, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46900526400).

34540022430 is an abundant number, since it is smaller than the sum of its proper divisors (59261030370).

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

34540022430 is a wasteful number, since it uses less digits than its factorization.

34540022430 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 102420 (or 102408 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 27.

Adding to 34540022430 its reverse (3422004543), we get a palindrome (37962026973).

The spelling of 34540022430 in words is "thirty-four billion, five hundred forty million, twenty-two thousand, four hundred thirty".