34999790169816 has 448 divisors, whose sum is σ = 106235940636000. Its totient is φ = 10768824391680.

The previous prime is 34999790169793. The next prime is 34999790169913. The reversal of 34999790169816 is 61896109799943.

It is a happy number.

34999790169816 is a `hidden beast` number, since 349 + 9 + 97 + 90 + 1 + 6 + 98 + 16 = 666.

It is a super-2 number, since 2×34999790169816² (a number of 28 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (81) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (81).

It is a congruent number.

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, 3766248466 + ... + 3766257758.

Almost surely, 2^{34999790169816} is an apocalyptic number.

34999790169816 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 34999790169816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53117970318000).

34999790169816 is an abundant number, since it is smaller than the sum of its proper divisors (71236150466184).

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

34999790169816 is a wasteful number, since it uses less digits than its factorization.

34999790169816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10206 (or 10187 counting only the distinct ones).

The product of its (nonzero) digits is 1428513408, while the sum is 81.

The spelling of 34999790169816 in words is "thirty-four trillion, nine hundred ninety-nine billion, seven hundred ninety million, one hundred sixty-nine thousand, eight hundred sixteen".