34028326800 has 300 divisors, whose sum is σ = 131520787860. Its totient is φ = 8376099840.

The previous prime is 34028326769. The next prime is 34028326823. The reversal of 34028326800 is 862382043.

It can be written as a sum of positive squares in 6 ways, for example, as 9987204096 + 24041122704 = 99936^2 + 155052^2 .

It is a tau number, because it is divible by the number of its divisors (300).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 380806 + ... + 461594.

Almost surely, 2^34028326800 is an apocalyptic number.

34028326800 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 34028326800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65760393930).

34028326800 is an abundant number, since it is smaller than the sum of its proper divisors (97492461060).

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

34028326800 is a wasteful number, since it uses less digits than its factorization.

34028326800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 80832 (or 80812 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 36.

The spelling of 34028326800 in words is "thirty-four billion, twenty-eight million, three hundred twenty-six thousand, eight hundred".