34016745199680 has 784 divisors, whose sum is σ = 126478151253504. Its totient is φ = 8700619898880.

The previous prime is 34016745199663. The next prime is 34016745199727. The reversal of 34016745199680 is 8699154761043.

34016745199680 is a `hidden beast` number, since 3 + 4 + 0 + 16 + 7 + 451 + 9 + 96 + 80 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 817159027 + ... + 817200653.

Almost surely, 2^{34016745199680} is an apocalyptic number.

34016745199680 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 34016745199680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63239075626752).

34016745199680 is an abundant number, since it is smaller than the sum of its proper divisors (92461406053824).

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

34016745199680 is a wasteful number, since it uses less digits than its factorization.

34016745199680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 41806 (or 41781 counting only the distinct ones).

The product of its (nonzero) digits is 39191040, while the sum is 63.

The spelling of 34016745199680 in words is "thirty-four trillion, sixteen billion, seven hundred forty-five million, one hundred ninety-nine thousand, six hundred eighty".