34400412400 has 120 divisors (see below), whose sum is σ = 83810885760. Its totient is φ = 13567077120.

The previous prime is 34400412391. The next prime is 34400412401. The reversal of 34400412400 is 421400443.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34400412401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 27322971 + ... + 27324229.

It is an arithmetic number, because the mean of its divisors is an integer number (698424048).

Almost surely, 2^34400412400 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 34400412400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41905442880).

34400412400 is an abundant number, since it is smaller than the sum of its proper divisors (49410473360).

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

34400412400 is a wasteful number, since it uses less digits than its factorization.

34400412400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2183 (or 2172 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 22.

Adding to 34400412400 its reverse (421400443), we get a palindrome (34821812843).

The spelling of 34400412400 in words is "thirty-four billion, four hundred million, four hundred twelve thousand, four hundred".