34261440642 has 576 divisors, whose sum is σ = 100938700800. Its totient is φ = 8562153600.

The previous prime is 34261440641. The next prime is 34261440643. The reversal of 34261440642 is 24604416243.

34261440642 is a `hidden beast` number, since 3 + 4 + 2 + 6 + 1 + 4 + 4 + 0 + 642 = 666.

It is an interprime number because it is at equal distance from previous prime (34261440641) and next prime (34261440643).

It is a junction number, because it is equal to n+sod(n) for n = 34261440597 and 34261440606.

It is not an unprimeable number, because it can be changed into a prime (34261440641) by changing a digit.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 482555467 + ... + 482555537.

It is an arithmetic number, because the mean of its divisors is an integer number (175240800).

Almost surely, 2^34261440642 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34261440642, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50469350400).

34261440642 is an abundant number, since it is smaller than the sum of its proper divisors (66677260158).

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

34261440642 is a wasteful number, since it uses less digits than its factorization.

34261440642 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 172 (or 142 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 36.

Adding to 34261440642 its reverse (24604416243), we get a palindrome (58865856885).

The spelling of 34261440642 in words is "thirty-four billion, two hundred sixty-one million, four hundred forty thousand, six hundred forty-two".