34122131400 has 768 divisors, whose sum is σ = 133294325760. Its totient is φ = 7044710400.

The previous prime is 34122131399. The next prime is 34122131419. The reversal of 34122131400 is 413122143.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 268678137 + ... + 268678263.

It is an arithmetic number, because the mean of its divisors is an integer number (173560320).

Almost surely, 2^34122131400 is an apocalyptic number.

34122131400 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 34122131400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66647162880).

34122131400 is an abundant number, since it is smaller than the sum of its proper divisors (99172194360).

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

34122131400 is a wasteful number, since it uses less digits than its factorization.

34122131400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 294 (or 285 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

Adding to 34122131400 its reverse (413122143), we get a palindrome (34535253543).

The spelling of 34122131400 in words is "thirty-four billion, one hundred twenty-two million, one hundred thirty-one thousand, four hundred".