34016390069760 has 1440 divisors, whose sum is σ = 142387328315232. Its totient is φ = 7760452976640.

The previous prime is 34016390069743. The next prime is 34016390069821. The reversal of 34016390069760 is 6796009361043.

34016390069760 is a `hidden beast` number, since 3 + 401 + 6 + 3 + 90 + 0 + 6 + 97 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (1440).

It is a super-2 number, since 2×34016390069760² (a number of 28 digits) contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 34016390069697 and 34016390069706.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 31122039774 + ... + 31122040866.

Almost surely, 2^{34016390069760} is an apocalyptic number.

34016390069760 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 34016390069760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71193664157616).

34016390069760 is an abundant number, since it is smaller than the sum of its proper divisors (108370938245472).

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

34016390069760 is a wasteful number, since it uses less digits than its factorization.

34016390069760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2166 (or 2131 counting only the distinct ones).

The product of its (nonzero) digits is 4408992, while the sum is 54.

The spelling of 34016390069760 in words is "thirty-four trillion, sixteen billion, three hundred ninety million, sixty-nine thousand, seven hundred sixty".