34200980800 has 504 divisors, whose sum is σ = 105475820544. Its totient is φ = 10843176960.

The previous prime is 34200980789. The next prime is 34200980833. The reversal of 34200980800 is 808900243.

It is a Harshad number since it is a multiple of its sum of digits (34).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 89297409 + ... + 89297791.

Almost surely, 2^34200980800 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 34200980800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52737910272).

34200980800 is an abundant number, since it is smaller than the sum of its proper divisors (71274839744).

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

34200980800 is a wasteful number, since it uses less digits than its factorization.

34200980800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 503 (or 481 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 34.

The spelling of 34200980800 in words is "thirty-four billion, two hundred million, nine hundred eighty thousand, eight hundred".