34000423211400 has 96 divisors (see below), whose sum is σ = 109035840009600. Its totient is φ = 8754131948800.

The previous prime is 34000423211389. The next prime is 34000423211441. The reversal of 34000423211400 is 411232400043.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 977006256 + ... + 977041055.

It is an arithmetic number, because the mean of its divisors is an integer number (1135790000100).

Almost surely, 2^{34000423211400} is an apocalyptic number.

34000423211400 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

34000423211400 is an abundant number, since it is smaller than the sum of its proper divisors (75035416798200).

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

34000423211400 is a wasteful number, since it uses less digits than its factorization.

34000423211400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1954047359 (or 1954047350 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

Adding to 34000423211400 its reverse (411232400043), we get a palindrome (34411655611443).

The spelling of 34000423211400 in words is "thirty-four trillion, four hundred twenty-three million, two hundred eleven thousand, four hundred".