34246433040 has 160 divisors (see below), whose sum is σ = 106860124800. Its totient is φ = 9072721920.

The previous prime is 34246433029. The next prime is 34246433047. The reversal of 34246433040 is 4033464243.

It is a junction number, because it is equal to n+sod(n) for n = 34246432992 and 34246433010.

It is not an unprimeable number, because it can be changed into a prime (34246433047) 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 31 ways as a sum of consecutive naturals, for example, 36863296 + ... + 36864224.

It is an arithmetic number, because the mean of its divisors is an integer number (667875780).

Almost surely, 2^34246433040 is an apocalyptic number.

34246433040 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34246433040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53430062400).

34246433040 is an abundant number, since it is smaller than the sum of its proper divisors (72613691760).

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

34246433040 is a wasteful number, since it uses less digits than its factorization.

34246433040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1785 (or 1779 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 33.

Adding to 34246433040 its reverse (4033464243), we get a palindrome (38279897283).

The spelling of 34246433040 in words is "thirty-four billion, two hundred forty-six million, four hundred thirty-three thousand, forty".