34116223331520 has 1008 divisors, whose sum is σ = 138881607740928. Its totient is φ = 7618378629120.

The previous prime is 34116223331461. The next prime is 34116223331609. The reversal of 34116223331520 is 2513332261143.

34116223331520 is a `hidden beast` number, since 3 + 4 + 1 + 1 + 622 + 3 + 3 + 3 + 1 + 5 + 20 = 666.

It is a super-2 number, since 2×34116223331520² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 430269799 + ... + 430349081.

Almost surely, 2^{34116223331520} is an apocalyptic number.

34116223331520 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34116223331520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69440803870464).

34116223331520 is an abundant number, since it is smaller than the sum of its proper divisors (104765384409408).

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

34116223331520 is a wasteful number, since it uses less digits than its factorization.

34116223331520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 79398 (or 79368 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 36.

Adding to 34116223331520 its reverse (2513332261143), we get a palindrome (36629555592663).

The spelling of 34116223331520 in words is "thirty-four trillion, one hundred sixteen billion, two hundred twenty-three million, three hundred thirty-one thousand, five hundred twenty".