34564345920000 has 2000 divisors, whose sum is σ = 140996311512672. Its totient is φ = 8375685120000.

The previous prime is 34564345919963. The next prime is 34564345920011. The reversal of 34564345920000 is 2954346543.

34564345920000 is a `hidden beast` number, since 3 + 4 + 5 + 6 + 434 + 5 + 9 + 200 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2000).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 199 ways as a sum of consecutive naturals, for example, 22576319235 + ... + 22576320765.

Almost surely, 2^{34564345920000} is an apocalyptic number.

34564345920000 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 34564345920000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70498155756336).

34564345920000 is an abundant number, since it is smaller than the sum of its proper divisors (106431965592672).

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

34564345920000 is an equidigital number, since it uses as much as digits as its factorization.

34564345920000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1661 (or 1621 counting only the distinct ones).

The product of its (nonzero) digits is 1555200, while the sum is 45.

The spelling of 34564345920000 in words is "thirty-four trillion, five hundred sixty-four billion, three hundred forty-five million, nine hundred twenty thousand".