34800827040000 has 1890 divisors, whose sum is σ = 151420349501190. Its totient is φ = 7953168384000.

The previous prime is 34800827039873. The next prime is 34800827040037. The reversal of 34800827040000 is 4072800843.

34800827040000 is a `hidden beast` number, since 34 + 80 + 0 + 82 + 70 + 400 + 0 + 0 = 666.

It can be written as a sum of positive squares in 5 ways, for example, as 18673599119616 + 16127227920384 = 4321296^2 + 4015872^2 .

It is a tau number, because it is divible by the number of its divisors (1890).

It is a super-2 number, since 2×34800827040000² (a number of 28 digits) contains 22 as substring.

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 209 ways as a sum of consecutive naturals, for example, 5715356956 + ... + 5715363044.

Almost surely, 2^{34800827040000} is an apocalyptic number.

34800827040000 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 34800827040000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75710174750595).

34800827040000 is an abundant number, since it is smaller than the sum of its proper divisors (116619522461190).

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

34800827040000 is an frugal number, since it uses more digits than its factorization.

34800827040000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6157 (or 6106 counting only the distinct ones).

The product of its (nonzero) digits is 43008, while the sum is 36.

Adding to 34800827040000 its reverse (4072800843), we get a palindrome (34804899840843).

The spelling of 34800827040000 in words is "thirty-four trillion, eight hundred billion, eight hundred twenty-seven million, forty thousand".