34212314400 has 216 divisors, whose sum is σ = 122406196752. Its totient is φ = 8293824000.

The previous prime is 34212314399. The next prime is 34212314407. The reversal of 34212314400 is 441321243.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (34212314407) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 231495 + ... + 349305.

Almost surely, 2^34212314400 is an apocalyptic number.

34212314400 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 34212314400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61203098376).

34212314400 is an abundant number, since it is smaller than the sum of its proper divisors (88193882352).

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

34212314400 is a wasteful number, since it uses less digits than its factorization.

34212314400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 117856 (or 117832 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

Adding to 34212314400 its reverse (441321243), we get a palindrome (34653635643).

The spelling of 34212314400 in words is "thirty-four billion, two hundred twelve million, three hundred fourteen thousand, four hundred".