34680913136640 has 1760 divisors, whose sum is σ = 137193837225984. Its totient is φ = 8339096862720.

The previous prime is 34680913136629. The next prime is 34680913136641. The reversal of 34680913136640 is 4663131908643.

34680913136640 is a `hidden beast` number, since 3 + 468 + 0 + 9 + 1 + 3 + 136 + 6 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (34680913136641) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 23385645339 + ... + 23385646821.

Almost surely, 2^{34680913136640} is an apocalyptic number.

34680913136640 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 34680913136640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68596918612992).

34680913136640 is an abundant number, since it is smaller than the sum of its proper divisors (102512924089344).

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

34680913136640 is a wasteful number, since it uses less digits than its factorization.

34680913136640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1675 (or 1648 counting only the distinct ones).

The product of its (nonzero) digits is 6718464, while the sum is 54.

The spelling of 34680913136640 in words is "thirty-four trillion, six hundred eighty billion, nine hundred thirteen million, one hundred thirty-six thousand, six hundred forty".