34804853329680 has 800 divisors, whose sum is σ = 139741492543488. Its totient is φ = 7864295961600.

The previous prime is 34804853329663. The next prime is 34804853329699. The reversal of 34804853329680 is 8692335840843.

It is a happy number.

34804853329680 is a `hidden beast` number, since 3 + 4 + 8 + 0 + 4 + 8 + 533 + 2 + 96 + 8 + 0 = 666.

It is a super-2 number, since 2×34804853329680² (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 159 ways as a sum of consecutive naturals, for example, 1562776945 + ... + 1562799215.

Almost surely, 2^{34804853329680} is an apocalyptic number.

34804853329680 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 34804853329680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69870746271744).

34804853329680 is an abundant number, since it is smaller than the sum of its proper divisors (104936639213808).

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

34804853329680 is a wasteful number, since it uses less digits than its factorization.

34804853329680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22697 (or 22682 counting only the distinct ones).

The product of its (nonzero) digits is 119439360, while the sum is 63.

The spelling of 34804853329680 in words is "thirty-four trillion, eight hundred four billion, eight hundred fifty-three million, three hundred twenty-nine thousand, six hundred eighty".