34046755061616 has 320 divisors, whose sum is σ = 107679533068800. Its totient is φ = 10213956403200.

The previous prime is 34046755061593. The next prime is 34046755061617. The reversal of 34046755061616 is 61616055764043.

34046755061616 is a `hidden beast` number, since 3 + 4 + 0 + 4 + 6 + 7 + 5 + 5 + 0 + 616 + 16 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34046755061617) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 630340051 + ... + 630394061.

It is an arithmetic number, because the mean of its divisors is an integer number (336498540840).

Almost surely, 2^{34046755061616} is an apocalyptic number.

34046755061616 is a gapful number since it is divisible by the number (36) 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 34046755061616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53839766534400).

34046755061616 is an abundant number, since it is smaller than the sum of its proper divisors (73632778007184).

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

34046755061616 is a wasteful number, since it uses less digits than its factorization.

34046755061616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 55365 (or 55353 counting only the distinct ones).

The product of its (nonzero) digits is 10886400, while the sum is 54.

The spelling of 34046755061616 in words is "thirty-four trillion, forty-six billion, seven hundred fifty-five million, sixty-one thousand, six hundred sixteen".