34214101400 has 192 divisors, whose sum is σ = 87467169600. Its totient is φ = 12388597760.

The previous prime is 34214101393. The next prime is 34214101459. The reversal of 34214101400 is 410141243.

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

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 34805309 + ... + 34806291.

It is an arithmetic number, because the mean of its divisors is an integer number (455558175).

Almost surely, 2^34214101400 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 34214101400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43733584800).

34214101400 is an abundant number, since it is smaller than the sum of its proper divisors (53253068200).

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

34214101400 is a wasteful number, since it uses less digits than its factorization.

34214101400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1398 (or 1389 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

Adding to 34214101400 its reverse (410141243), we get a palindrome (34624242643).

The spelling of 34214101400 in words is "thirty-four billion, two hundred fourteen million, one hundred one thousand, four hundred".