34340041032 has 192 divisors, whose sum is σ = 95975140800. Its totient is φ = 10230105600.

The previous prime is 34340041009. The next prime is 34340041061. The reversal of 34340041032 is 23014004343.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 34340040993 and 34340041011.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 49695807 + ... + 49696497.

It is an arithmetic number, because the mean of its divisors is an integer number (499870525).

Almost surely, 2^34340041032 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34340041032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47987570400).

34340041032 is an abundant number, since it is smaller than the sum of its proper divisors (61635099768).

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

34340041032 is a wasteful number, since it uses less digits than its factorization.

34340041032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 988 (or 973 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 24.

Adding to 34340041032 its reverse (23014004343), we get a palindrome (57354045375).

The spelling of 34340041032 in words is "thirty-four billion, three hundred forty million, forty-one thousand, thirty-two".