34933628798208 has 108 divisors (see below), whose sum is σ = 115111158836128. Its totient is φ = 9981036794880.

The previous prime is 34933628798203. The next prime is 34933628798347. The reversal of 34933628798208 is 80289782633943.

It is a happy number.

34933628798208 is a `hidden beast` number, since 3 + 4 + 9 + 336 + 2 + 87 + 9 + 8 + 208 = 666.

It is a super-2 number, since 2×34933628798208² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34933628798203) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1082995678 + ... + 1083027933.

Almost surely, 2^{34933628798208} is an apocalyptic number.

It is an amenable number.

34933628798208 is an abundant number, since it is smaller than the sum of its proper divisors (80177530037920).

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

34933628798208 is a wasteful number, since it uses less digits than its factorization.

34933628798208 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2166023640 (or 2166023623 counting only the distinct ones).

The product of its (nonzero) digits is 752467968, while the sum is 72.

The spelling of 34933628798208 in words is "thirty-four trillion, nine hundred thirty-three billion, six hundred twenty-eight million, seven hundred ninety-eight thousand, two hundred eight".