34601987404296 has 256 divisors, whose sum is σ = 104554927008000. Its totient is φ = 10539349862400.

The previous prime is 34601987404279. The next prime is 34601987404417. The reversal of 34601987404296 is 69240478910643.

It is a happy number.

34601987404296 is a `hidden beast` number, since 3 + 4 + 60 + 1 + 9 + 87 + 404 + 2 + 96 = 666.

It is a Smith number, since the sum of its digits (63) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2294097571 + ... + 2294112653.

It is an arithmetic number, because the mean of its divisors is an integer number (408417683625).

Almost surely, 2^{34601987404296} is an apocalyptic number.

34601987404296 is a gapful number since it is divisible by the number (36) 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 34601987404296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52277463504000).

34601987404296 is an abundant number, since it is smaller than the sum of its proper divisors (69952939603704).

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

34601987404296 is a wasteful number, since it uses less digits than its factorization.

34601987404296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23301 (or 23291 counting only the distinct ones).

The product of its (nonzero) digits is 62705664, while the sum is 63.

The spelling of 34601987404296 in words is "thirty-four trillion, six hundred one billion, nine hundred eighty-seven million, four hundred four thousand, two hundred ninety-six".