34469682234624 has 864 divisors, whose sum is σ = 127740571305984. Its totient is φ = 8688644997120.

The previous prime is 34469682234607. The next prime is 34469682234677. The reversal of 34469682234624 is 42643228696443.

34469682234624 is a `hidden beast` number, since 3 + 4 + 4 + 6 + 96 + 82 + 2 + 3 + 462 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 8733132619 + ... + 8733136565.

It is an arithmetic number, because the mean of its divisors is an integer number (147847883456).

Almost surely, 2^{34469682234624} 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 34469682234624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63870285652992).

34469682234624 is an abundant number, since it is smaller than the sum of its proper divisors (93270889071360).

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

34469682234624 is a wasteful number, since it uses less digits than its factorization.

34469682234624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5823 (or 5806 counting only the distinct ones).

The product of its digits is 286654464, while the sum is 63.

The spelling of 34469682234624 in words is "thirty-four trillion, four hundred sixty-nine billion, six hundred eighty-two million, two hundred thirty-four thousand, six hundred twenty-four".