34201430400 has 192 divisors, whose sum is σ = 112986607680. Its totient is φ = 9093212160.

The previous prime is 34201430383. The next prime is 34201430411. The reversal of 34201430400 is 403410243.

It is a tau number, because it is divible by the number of its divisors (192).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3326067 + ... + 3336333.

It is an arithmetic number, because the mean of its divisors is an integer number (588471915).

Almost surely, 2^34201430400 is an apocalyptic number.

34201430400 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 34201430400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56493303840).

34201430400 is an abundant number, since it is smaller than the sum of its proper divisors (78785177280).

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

34201430400 is a wasteful number, since it uses less digits than its factorization.

34201430400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10641 (or 10624 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 21.

Adding to 34201430400 its reverse (403410243), we get a palindrome (34604840643).

The spelling of 34201430400 in words is "thirty-four billion, two hundred one million, four hundred thirty thousand, four hundred".