34366641400 has 768 divisors, whose sum is σ = 112492800000. Its totient is φ = 9452298240.

The previous prime is 34366641359. The next prime is 34366641401. The reversal of 34366641400 is 414666343.

It is a super-2 number, since 2×34366641400² (a number of 22 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 34366641400.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34366641401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 230648526 + ... + 230648674.

It is an arithmetic number, because the mean of its divisors is an integer number (146475000).

Almost surely, 2^34366641400 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 34366641400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56246400000).

34366641400 is an abundant number, since it is smaller than the sum of its proper divisors (78126158600).

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

34366641400 is a wasteful number, since it uses less digits than its factorization.

34366641400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 256 (or 247 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 37.

The spelling of 34366641400 in words is "thirty-four billion, three hundred sixty-six million, six hundred forty-one thousand, four hundred".