34334004210000 has 200 divisors, whose sum is σ = 120910630388064. Its totient is φ = 8323394880000.

The previous prime is 34334004209987. The next prime is 34334004210019. The reversal of 34334004210000 is 1240043343.

It is a tau number, because it is divible by the number of its divisors (200).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 51691219 + ... + 52351218.

Almost surely, 2^{34334004210000} is an apocalyptic number.

34334004210000 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

34334004210000 is an abundant number, since it is smaller than the sum of its proper divisors (86576626178064).

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

34334004210000 is a wasteful number, since it uses less digits than its factorization.

34334004210000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 104042479 (or 104042458 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 24.

Adding to 34334004210000 its reverse (1240043343), we get a palindrome (34335244253343).

The spelling of 34334004210000 in words is "thirty-four trillion, three hundred thirty-four billion, four million, two hundred ten thousand".