34212534400 has 192 divisors, whose sum is σ = 92497606560. Its totient is φ = 12400640000.

The previous prime is 34212534379. The next prime is 34212534403. The reversal of 34212534400 is 443521243.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (34212534403) 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 23 ways as a sum of consecutive naturals, for example, 12213000 + ... + 12215800.

Almost surely, 2^34212534400 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 34212534400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46248803280).

34212534400 is an abundant number, since it is smaller than the sum of its proper divisors (58285072160).

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

34212534400 is a wasteful number, since it uses less digits than its factorization.

34212534400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3183 (or 3166 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 28.

It can be divided in two parts, 3421253 and 4400, that added together give a triangular number (3425653 = T₂₆₁₇).

The spelling of 34212534400 in words is "thirty-four billion, two hundred twelve million, five hundred thirty-four thousand, four hundred".