34340154144100 has 576 divisors, whose sum is σ = 95500927549440. Its totient is φ = 10433874124800.

The previous prime is 34340154144077. The next prime is 34340154144139. The reversal of 34340154144100 is 144145104343.

It is a Harshad number since it is a multiple of its sum of digits (34).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 34934032209 + ... + 34934033191.

It is an arithmetic number, because the mean of its divisors is an integer number (165800221440).

Almost surely, 2^{34340154144100} 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 34340154144100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47750463774720).

34340154144100 is an abundant number, since it is smaller than the sum of its proper divisors (61160773405340).

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

34340154144100 is a wasteful number, since it uses less digits than its factorization.

34340154144100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1828 (or 1821 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 34.

Adding to 34340154144100 its reverse (144145104343), we get a palindrome (34484299248443).

The spelling of 34340154144100 in words is "thirty-four trillion, three hundred forty billion, one hundred fifty-four million, one hundred forty-four thousand, one hundred".