34058111785632 has 336 divisors, whose sum is σ = 109690218767808. Its totient is φ = 10318844067840.

The previous prime is 34058111785631. The next prime is 34058111785673. The reversal of 34058111785632 is 23658711185043.

34058111785632 is a `hidden beast` number, since 3 + 4 + 0 + 5 + 8 + 1 + 1 + 1 + 78 + 563 + 2 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (34058111785631) by changing a digit.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 2759299653 + ... + 2759311995.

It is an arithmetic number, because the mean of its divisors is an integer number (326458984428).

Almost surely, 2^{34058111785632} is an apocalyptic number.

34058111785632 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 34058111785632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54845109383904).

34058111785632 is an abundant number, since it is smaller than the sum of its proper divisors (75632106982176).

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

34058111785632 is a wasteful number, since it uses less digits than its factorization.

34058111785632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23135 (or 23112 counting only the distinct ones).

The product of its (nonzero) digits is 4838400, while the sum is 54.

The spelling of 34058111785632 in words is "thirty-four trillion, fifty-eight billion, one hundred eleven million, seven hundred eighty-five thousand, six hundred thirty-two".