34431433040 has 80 divisors (see below), whose sum is σ = 81724733568. Its totient is φ = 13486007808.

The previous prime is 34431433039. The next prime is 34431433081. The reversal of 34431433040 is 4033413443.

It is a tau number, because it is divible by the number of its divisors (80).

It is a junction number, because it is equal to n+sod(n) for n = 34431432994 and 34431433012.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2209757 + ... + 2225283.

Almost surely, 2^34431433040 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 34431433040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40862366784).

34431433040 is an abundant number, since it is smaller than the sum of its proper divisors (47293300528).

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

34431433040 is a wasteful number, since it uses less digits than its factorization.

34431433040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16116 (or 16110 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 29.

Adding to 34431433040 its reverse (4033413443), we get a palindrome (38464846483).

The spelling of 34431433040 in words is "thirty-four billion, four hundred thirty-one million, four hundred thirty-three thousand, forty".