34345410522544 has 40 divisors (see below), whose sum is σ = 76863926764368. Its totient is φ = 14693223751680.

The previous prime is 34345410522463. The next prime is 34345410522551. The reversal of 34345410522544 is 44522501454343.

It is a super-3 number, since 3×34345410522544³ (a number of 42 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a junction number, because it is equal to n+sod(n) for n = 34345410522494 and 34345410522503.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5739537537 + ... + 5739543520.

Almost surely, 2^{34345410522544} is an apocalyptic number.

34345410522544 is a gapful number since it is divisible by the number (34) formed by its first and last digit.

It is an amenable number.

34345410522544 is an abundant number, since it is smaller than the sum of its proper divisors (42518516241824).

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

34345410522544 is a wasteful number, since it uses less digits than its factorization.

34345410522544 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11479081093 (or 11479081087 counting only the distinct ones).

The product of its (nonzero) digits is 4608000, while the sum is 46.

Adding to 34345410522544 its reverse (44522501454343), we get a palindrome (78867911976887).

The spelling of 34345410522544 in words is "thirty-four trillion, three hundred forty-five billion, four hundred ten million, five hundred twenty-two thousand, five hundred forty-four".