34454213343000 has 384 divisors, whose sum is σ = 129745121725440. Its totient is φ = 8174821920000.

The previous prime is 34454213342999. The next prime is 34454213343013. The reversal of 34454213343000 is 34331245443.

It is a happy number.

34454213343000 is a `hidden beast` number, since 3 + 4 + 4 + 5 + 4 + 213 + 3 + 430 + 0 + 0 = 666.

It is a super-3 number, since 3×34454213343000³ (a number of 42 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

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, 950635 + ... + 8355365.

It is an arithmetic number, because the mean of its divisors is an integer number (337877921160).

Almost surely, 2^{34454213343000} is an apocalyptic number.

34454213343000 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34454213343000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64872560862720).

34454213343000 is an abundant number, since it is smaller than the sum of its proper divisors (95290908382440).

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

34454213343000 is a wasteful number, since it uses less digits than its factorization.

34454213343000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7404816 (or 7404799 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 36.

Adding to 34454213343000 its reverse (34331245443), we get a palindrome (34488544588443).

The spelling of 34454213343000 in words is "thirty-four trillion, four hundred fifty-four billion, two hundred thirteen million, three hundred forty-three thousand".