34221312400 has 120 divisors (see below), whose sum is σ = 90095733504. Its totient is φ = 12387955200.

The previous prime is 34221312397. The next prime is 34221312479. The reversal of 34221312400 is 421312243.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 963762 + ... + 998638.

Almost surely, 2^34221312400 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 34221312400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45047866752).

34221312400 is an abundant number, since it is smaller than the sum of its proper divisors (55874421104).

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

34221312400 is a wasteful number, since it uses less digits than its factorization.

34221312400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35129 (or 35118 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 22.

Adding to 34221312400 its reverse (421312243), we get a palindrome (34642624643).

The spelling of 34221312400 in words is "thirty-four billion, two hundred twenty-one million, three hundred twelve thousand, four hundred".