35305342334352 has 120 divisors (see below), whose sum is σ = 98932112600256. Its totient is φ = 11753421512448.

The previous prime is 35305342334351. The next prime is 35305342334357. The reversal of 35305342334352 is 25343324350353.

35305342334352 is a `hidden beast` number, since 3 + 5 + 3 + 0 + 534 + 23 + 3 + 43 + 52 = 666.

It is a super-3 number, since 3×35305342334352³ (a number of 42 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 35305342334298 and 35305342334307.

It is not an unprimeable number, because it can be changed into a prime (35305342334351) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1071238258 + ... + 1071271214.

Almost surely, 2^{35305342334352} is an apocalyptic number.

It is an amenable number.

35305342334352 is an abundant number, since it is smaller than the sum of its proper divisors (63626770265904).

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

35305342334352 is a wasteful number, since it uses less digits than its factorization.

35305342334352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42245 (or 42236 counting only the distinct ones).

The product of its (nonzero) digits is 5832000, while the sum is 45.

The spelling of 35305342334352 in words is "thirty-five trillion, three hundred five billion, three hundred forty-two million, three hundred thirty-four thousand, three hundred fifty-two".