34346433040 has 40 divisors (see below), whose sum is σ = 82609098840. Its totient is φ = 13264828416.

The previous prime is 34346433031. The next prime is 34346433041. The reversal of 34346433040 is 4033464343.

It can be written as a sum of positive squares in 4 ways, for example, as 3202654464 + 31143778576 = 56592^2 + 176476^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a junction number, because it is equal to n+sod(n) for n = 34346432987 and 34346433005.

It is not an unprimeable number, because it can be changed into a prime (34346433041) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7399929 + ... + 7404568.

It is an arithmetic number, because the mean of its divisors is an integer number (2065227471).

Almost surely, 2^34346433040 is an apocalyptic number.

It is an amenable number.

34346433040 is an abundant number, since it is smaller than the sum of its proper divisors (48262665800).

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

34346433040 is a wasteful number, since it uses less digits than its factorization.

34346433040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14804539 (or 14804533 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 34.

Adding to 34346433040 its reverse (4033464343), we get a palindrome (38379897383).

The spelling of 34346433040 in words is "thirty-four billion, three hundred forty-six million, four hundred thirty-three thousand, forty".