34033940125200 has 1440 divisors, whose sum is σ = 126558007804800. Its totient is φ = 8458456596480.

The previous prime is 34033940125193. The next prime is 34033940125249. The reversal of 34033940125200 is 252104933043.

34033940125200 is a `hidden beast` number, since 3 + 4 + 0 + 33 + 94 + 0 + 12 + 520 + 0 = 666.

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 287 ways as a sum of consecutive naturals, for example, 57392816104 + ... + 57392816696.

It is an arithmetic number, because the mean of its divisors is an integer number (87887505420).

Almost surely, 2^{34033940125200} is an apocalyptic number.

34033940125200 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 34033940125200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63279003902400).

34033940125200 is an abundant number, since it is smaller than the sum of its proper divisors (92524067679600).

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

34033940125200 is a wasteful number, since it uses less digits than its factorization.

34033940125200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 889 (or 875 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 36.

The spelling of 34033940125200 in words is "thirty-four trillion, thirty-three billion, nine hundred forty million, one hundred twenty-five thousand, two hundred".