34000343102024 has 64 divisors (see below), whose sum is σ = 72700115347440. Its totient is φ = 14767942533120.

The previous prime is 34000343101987. The next prime is 34000343102057. The reversal of 34000343102024 is 42020134300043.

It can be written as a sum of positive squares in 8 ways, for example, as 30330551553124 + 3669791548900 = 5507318^2 + 1915670^2 .

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a junction number, because it is equal to n+sod(n) for n = 34000343101984 and 34000343102002.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 17338184 + ... + 19199304.

Almost surely, 2^{34000343102024} is an apocalyptic number.

34000343102024 is a gapful number since it is divisible by the number (34) formed by its first and last digit.

It is an amenable number.

34000343102024 is an abundant number, since it is smaller than the sum of its proper divisors (38699772245416).

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

34000343102024 is a wasteful number, since it uses less digits than its factorization.

34000343102024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1871490 (or 1871486 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 26.

Adding to 34000343102024 its reverse (42020134300043), we get a palindrome (76020477402067).

The spelling of 34000343102024 in words is "thirty-four trillion, three hundred forty-three million, one hundred two thousand, twenty-four".