34003241413100 has 288 divisors, whose sum is σ = 80519884522560. Its totient is φ = 12421693440000.

The previous prime is 34003241413067. The next prime is 34003241413111. The reversal of 34003241413100 is 131414230043.

It is a happy number.

It is a super-2 number, since 2×34003241413100² (a number of 28 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 34003241413100.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 7082530700 + ... + 7082535500.

It is an arithmetic number, because the mean of its divisors is an integer number (279582932370).

Almost surely, 2^{34003241413100} 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 34003241413100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40259942261280).

34003241413100 is an abundant number, since it is smaller than the sum of its proper divisors (46516643109460).

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

34003241413100 is a wasteful number, since it uses less digits than its factorization.

34003241413100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6101 (or 6094 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 26.

Adding to 34003241413100 its reverse (131414230043), we get a palindrome (34134655643143).

The spelling of 34003241413100 in words is "thirty-four trillion, three billion, two hundred forty-one million, four hundred thirteen thousand, one hundred".