34672180400 has 480 divisors, whose sum is σ = 104902452480. Its totient is φ = 10824192000.

The previous prime is 34672180393. The next prime is 34672180421. The reversal of 34672180400 is 408127643.

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 95 ways as a sum of consecutive naturals, for example, 66294539 + ... + 66295061.

It is an arithmetic number, because the mean of its divisors is an integer number (218546776).

Almost surely, 2^34672180400 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 34672180400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52451226240).

34672180400 is an abundant number, since it is smaller than the sum of its proper divisors (70230272080).

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

34672180400 is a wasteful number, since it uses less digits than its factorization.

34672180400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 645 (or 634 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 35.

The spelling of 34672180400 in words is "thirty-four billion, six hundred seventy-two million, one hundred eighty thousand, four hundred".