34345301416650 has 288 divisors, whose sum is σ = 106919095989888. Its totient is φ = 7741507737600.

The previous prime is 34345301416649. The next prime is 34345301416661. The reversal of 34345301416650 is 5661410354343.

34345301416650 is a `hidden beast` number, since 3 + 4 + 3 + 4 + 530 + 1 + 4 + 1 + 66 + 50 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a junction number, because it is equal to n+sod(n) for n = 34345301416596 and 34345301416605.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 2182447582 + ... + 2182463318.

It is an arithmetic number, because the mean of its divisors is an integer number (371246861076).

Almost surely, 2^{34345301416650} is an apocalyptic number.

34345301416650 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 34345301416650, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53459547994944).

34345301416650 is an abundant number, since it is smaller than the sum of its proper divisors (72573794573238).

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

34345301416650 is a wasteful number, since it uses less digits than its factorization.

34345301416650 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25326 (or 25318 counting only the distinct ones).

The product of its (nonzero) digits is 1555200, while the sum is 45.

The spelling of 34345301416650 in words is "thirty-four trillion, three hundred forty-five billion, three hundred one million, four hundred sixteen thousand, six hundred fifty".