34042353345 has 288 divisors, whose sum is σ = 81474906240. Its totient is φ = 12924334080.

The previous prime is 34042353343. The next prime is 34042353353. The reversal of 34042353345 is 54335324043.

34042353345 is a `hidden beast` number, since 3 + 40 + 42 + 3 + 533 + 45 = 666.

It is not a de Polignac number, because 34042353345 - 2¹ = 34042353343 is a prime.

It is a super-3 number, since 3×34042353345³ (a number of 33 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (34042353343) by changing a digit.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 33738201 + ... + 33739209.

It is an arithmetic number, because the mean of its divisors is an integer number (282898980).

Almost surely, 2^34042353345 is an apocalyptic number.

34042353345 is a gapful number since it is divisible by the number (35) formed by its first and last digit.

It is an amenable number.

34042353345 is an abundant number, since it is smaller than the sum of its proper divisors (47432552895).

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

34042353345 is a wasteful number, since it uses less digits than its factorization.

34042353345 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1165 (or 1155 counting only the distinct ones).

The product of its (nonzero) digits is 259200, while the sum is 36.

Adding to 34042353345 its reverse (54335324043), we get a palindrome (88377677388).

The spelling of 34042353345 in words is "thirty-four billion, forty-two million, three hundred fifty-three thousand, three hundred forty-five".