342001006616610 has 384 divisors, whose sum is σ = 994901949849600. Its totient is φ = 80809773327360.

The previous prime is 342001006616569. The next prime is 342001006616617. The reversal of 342001006616610 is 16616600100243.

It is a happy number.

342001006616610 is a `hidden beast` number, since 3 + 4 + 20 + 0 + 1 + 0 + 0 + 6 + 6 + 16 + 610 = 666.

It is not an unprimeable number, because it can be changed into a prime (342001006616617) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 6617768751 + ... + 6617820429.

It is an arithmetic number, because the mean of its divisors is an integer number (2590890494400).

Almost surely, 2^{342001006616610} is an apocalyptic number.

342001006616610 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 342001006616610, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (497450974924800).

342001006616610 is an abundant number, since it is smaller than the sum of its proper divisors (652900943232990).

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

342001006616610 is a wasteful number, since it uses less digits than its factorization.

342001006616610 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 52726 (or 52723 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

Adding to 342001006616610 its reverse (16616600100243), we get a palindrome (358617606716853).

The spelling of 342001006616610 in words is "three hundred forty-two trillion, one billion, six million, six hundred sixteen thousand, six hundred ten".