34251544400 has 90 divisors (see below), whose sum is σ = 82958007870. Its totient is φ = 13590178560.

The previous prime is 34251544381. The next prime is 34251544403. The reversal of 34251544400 is 444515243.

It can be written as a sum of positive squares in 3 ways, for example, as 433805584 + 33817738816 = 20828^2 + 183896^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34251544403) 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 17 ways as a sum of consecutive naturals, for example, 6448946 + ... + 6454254.

It is an arithmetic number, because the mean of its divisors is an integer number (921755643).

Almost surely, 2^34251544400 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 34251544400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41479003935).

34251544400 is an abundant number, since it is smaller than the sum of its proper divisors (48706463470).

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

34251544400 is a wasteful number, since it uses less digits than its factorization.

34251544400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5581 (or 5443 counting only the distinct ones).

The product of its (nonzero) digits is 38400, while the sum is 32.

The spelling of 34251544400 in words is "thirty-four billion, two hundred fifty-one million, five hundred forty-four thousand, four hundred".