34252755683328 has 3456 divisors, whose sum is σ = 139968331776000. Its totient is φ = 8216950210560.

The previous prime is 34252755683303. The next prime is 34252755683387. The reversal of 34252755683328 is 82338655725243.

34252755683328 is a `hidden beast` number, since 3 + 4 + 2 + 5 + 27 + 556 + 8 + 33 + 28 = 666.

It is a tau number, because it is divible by the number of its divisors (3456).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 269706737601 + ... + 269706737727.

It is an arithmetic number, because the mean of its divisors is an integer number (40500096000).

Almost surely, 2^{34252755683328} is an apocalyptic number.

34252755683328 is a gapful number since it is divisible by the number (38) 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 34252755683328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69984165888000).

34252755683328 is an abundant number, since it is smaller than the sum of its proper divisors (105715576092672).

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

34252755683328 is a wasteful number, since it uses less digits than its factorization.

34252755683328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 248 (or 202 counting only the distinct ones).

The product of its digits is 290304000, while the sum is 63.

The spelling of 34252755683328 in words is "thirty-four trillion, two hundred fifty-two billion, seven hundred fifty-five million, six hundred eighty-three thousand, three hundred twenty-eight".