34642655712 has 144 divisors (see below), whose sum is σ = 112652703072. Its totient is φ = 9892270080.

The previous prime is 34642655701. The next prime is 34642655731. The reversal of 34642655712 is 21755624643.

34642655712 is a `hidden beast` number, since 3 + 4 + 64 + 26 + 557 + 12 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×34642655712² (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4627012 + ... + 4634492.

It is an arithmetic number, because the mean of its divisors is an integer number (782310438).

Almost surely, 2^34642655712 is an apocalyptic number.

34642655712 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 34642655712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56326351536).

34642655712 is an abundant number, since it is smaller than the sum of its proper divisors (78010047360).

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

34642655712 is a wasteful number, since it uses less digits than its factorization.

34642655712 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9801 (or 9790 counting only the distinct ones).

The product of its digits is 1209600, while the sum is 45.

The spelling of 34642655712 in words is "thirty-four billion, six hundred forty-two million, six hundred fifty-five thousand, seven hundred twelve".