34326381192336 has 240 divisors, whose sum is σ = 100364951232000. Its totient is φ = 11357160367104.

The previous prime is 34326381192293. The next prime is 34326381192343. The reversal of 34326381192336 is 63329118362343.

34326381192336 is a `hidden beast` number, since 3 + 4 + 3 + 26 + 381 + 1 + 9 + 233 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 833609380 + ... + 833650556.

It is an arithmetic number, because the mean of its divisors is an integer number (418187296800).

Almost surely, 2^{34326381192336} is an apocalyptic number.

34326381192336 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 34326381192336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50182475616000).

34326381192336 is an abundant number, since it is smaller than the sum of its proper divisors (66038570039664).

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

34326381192336 is a wasteful number, since it uses less digits than its factorization.

34326381192336 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42788 (or 42770 counting only the distinct ones).

The product of its digits is 10077696, while the sum is 54.

The spelling of 34326381192336 in words is "thirty-four trillion, three hundred twenty-six billion, three hundred eighty-one million, one hundred ninety-two thousand, three hundred thirty-six".