34397539118976 has 512 divisors, whose sum is σ = 104844965068800. Its totient is φ = 9897338880000.

The previous prime is 34397539118959. The next prime is 34397539118977. The reversal of 34397539118976 is 67981193579343.

It is a junction number, because it is equal to n+sod(n) for n = 34397539118898 and 34397539118907.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34397539118977) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1526664831 + ... + 1526687361.

It is an arithmetic number, because the mean of its divisors is an integer number (204775322400).

Almost surely, 2^{34397539118976} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34397539118976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52422482534400).

34397539118976 is an abundant number, since it is smaller than the sum of its proper divisors (70447425949824).

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

34397539118976 is a wasteful number, since it uses less digits than its factorization.

34397539118976 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22810 (or 22798 counting only the distinct ones).

The product of its digits is 925888320, while the sum is 75.

The spelling of 34397539118976 in words is "thirty-four trillion, three hundred ninety-seven billion, five hundred thirty-nine million, one hundred eighteen thousand, nine hundred seventy-six".