34002413200000 has 768 divisors, whose sum is σ = 100858794624000. Its totient is φ = 11407764480000.

The previous prime is 34002413199971. The next prime is 34002413200027. The reversal of 34002413200000 is 231420043.

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, 6448397364 + ... + 6448402636.

It is an arithmetic number, because the mean of its divisors is an integer number (131326555500).

Almost surely, 2^{34002413200000} 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 34002413200000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50429397312000).

34002413200000 is an abundant number, since it is smaller than the sum of its proper divisors (66856381424000).

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

34002413200000 is an frugal number, since it uses more digits than its factorization.

34002413200000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5380 (or 5334 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 19.

Adding to 34002413200000 its reverse (231420043), we get a palindrome (34002644620043).

The spelling of 34002413200000 in words is "thirty-four trillion, two billion, four hundred thirteen million, two hundred thousand".