34406332065792 has 576 divisors, whose sum is σ = 105363137880000. Its totient is φ = 10797900890112.

The previous prime is 34406332065779. The next prime is 34406332065811. The reversal of 34406332065792 is 29756023360443.

34406332065792 is a `hidden beast` number, since 3 + 4 + 4 + 0 + 63 + 3 + 2 + 0 + 6 + 579 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

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, 24110953783 + ... + 24110955209.

It is an arithmetic number, because the mean of its divisors is an integer number (182922114375).

Almost surely, 2^{34406332065792} is an apocalyptic number.

34406332065792 is a gapful number since it is divisible by the number (32) 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 34406332065792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52681568940000).

34406332065792 is an abundant number, since it is smaller than the sum of its proper divisors (70956805814208).

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

34406332065792 is a wasteful number, since it uses less digits than its factorization.

34406332065792 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2576 (or 2553 counting only the distinct ones).

The product of its (nonzero) digits is 19595520, while the sum is 54.

The spelling of 34406332065792 in words is "thirty-four trillion, four hundred six billion, three hundred thirty-two million, sixty-five thousand, seven hundred ninety-two".