34111321400 has 96 divisors (see below), whose sum is σ = 86684712240. Its totient is φ = 12406901760.

The previous prime is 34111321399. The next prime is 34111321403. The reversal of 34111321400 is 412311143.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34111321403) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 76292 + ... + 272108.

Almost surely, 2^34111321400 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 34111321400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43342356120).

34111321400 is an abundant number, since it is smaller than the sum of its proper divisors (52573390840).

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

34111321400 is a wasteful number, since it uses less digits than its factorization.

34111321400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 195913 (or 195904 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 20.

Adding to 34111321400 its reverse (412311143), we get a palindrome (34523632543).

The spelling of 34111321400 in words is "thirty-four billion, one hundred eleven million, three hundred twenty-one thousand, four hundred".