34838213169690 has 256 divisors, whose sum is σ = 106343580672000. Its totient is φ = 7950283038720.

The previous prime is 34838213169673. The next prime is 34838213169701. The reversal of 34838213169690 is 9696131283843.

34838213169690 is a `hidden beast` number, since 3 + 4 + 8 + 382 + 1 + 3 + 169 + 6 + 90 = 666.

It is a super-2 number, since 2×34838213169690² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 3352724395 + ... + 3352734785.

It is an arithmetic number, because the mean of its divisors is an integer number (415404612000).

Almost surely, 2^{34838213169690} is an apocalyptic number.

34838213169690 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 34838213169690, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53171790336000).

34838213169690 is an abundant number, since it is smaller than the sum of its proper divisors (71505367502310).

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

34838213169690 is a wasteful number, since it uses less digits than its factorization.

34838213169690 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13082 (or 13076 counting only the distinct ones).

The product of its (nonzero) digits is 40310784, while the sum is 63.

The spelling of 34838213169690 in words is "thirty-four trillion, eight hundred thirty-eight billion, two hundred thirteen million, one hundred sixty-nine thousand, six hundred ninety".