34838755644672 has 576 divisors, whose sum is σ = 120062401536000. Its totient is φ = 9758687404032.

The previous prime is 34838755644659. The next prime is 34838755644673. The reversal of 34838755644672 is 27644655783843.

34838755644672 is a `hidden beast` number, since 3 + 4 + 8 + 3 + 8 + 7 + 556 + 4 + 4 + 67 + 2 = 666.

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

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a self number, because there is not a number n which added to its sum of digits gives 34838755644672.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34838755644673) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1064770329 + ... + 1064803047.

Almost surely, 2^{34838755644672} is an apocalyptic number.

34838755644672 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 34838755644672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60031200768000).

34838755644672 is an abundant number, since it is smaller than the sum of its proper divisors (85223645891328).

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

34838755644672 is a wasteful number, since it uses less digits than its factorization.

34838755644672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33183 (or 33163 counting only the distinct ones).

The product of its digits is 3251404800, while the sum is 72.

The spelling of 34838755644672 in words is "thirty-four trillion, eight hundred thirty-eight billion, seven hundred fifty-five million, six hundred forty-four thousand, six hundred seventy-two".