34984006627680 has 576 divisors, whose sum is σ = 140795629228800. Its totient is φ = 7817450434560.

The previous prime is 34984006627673. The next prime is 34984006627681. The reversal of 34984006627680 is 8672660048943.

34984006627680 is a `hidden beast` number, since 3 + 4 + 98 + 400 + 6 + 62 + 7 + 6 + 80 = 666.

It is a super-2 number, since 2×34984006627680² (a number of 28 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34984006627681) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 9564691 + ... + 12706349.

It is an arithmetic number, because the mean of its divisors is an integer number (244436856300).

Almost surely, 2^{34984006627680} is an apocalyptic number.

34984006627680 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 34984006627680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70397814614400).

34984006627680 is an abundant number, since it is smaller than the sum of its proper divisors (105811622601120).

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

34984006627680 is a wasteful number, since it uses less digits than its factorization.

34984006627680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3141747 (or 3141736 counting only the distinct ones).

The product of its (nonzero) digits is 83607552, while the sum is 63.

The spelling of 34984006627680 in words is "thirty-four trillion, nine hundred eighty-four billion, six million, six hundred twenty-seven thousand, six hundred eighty".