34852941981000 has 1024 divisors, whose sum is σ = 146525950771200. Its totient is φ = 7547644800000.

The previous prime is 34852941980957. The next prime is 34852941981001. The reversal of 34852941981000 is 18914925843.

It is a happy number.

34852941981000 is a `hidden beast` number, since 3 + 4 + 8 + 529 + 4 + 1 + 9 + 8 + 100 + 0 = 666.

It is a super-2 number, since 2×34852941981000² (a number of 28 digits) contains 22 as substring.

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 (34852941981001) by changing a digit.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 119545405 + ... + 119836595.

It is an arithmetic number, because the mean of its divisors is an integer number (143091748800).

Almost surely, 2^{34852941981000} is an apocalyptic number.

34852941981000 is a gapful number since it is divisible by the number (30) 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 34852941981000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73262975385600).

34852941981000 is an abundant number, since it is smaller than the sum of its proper divisors (111673008790200).

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

34852941981000 is a wasteful number, since it uses less digits than its factorization.

34852941981000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 291276 (or 291256 counting only the distinct ones).

The product of its (nonzero) digits is 2488320, while the sum is 54.

The spelling of 34852941981000 in words is "thirty-four trillion, eight hundred fifty-two billion, nine hundred forty-one million, nine hundred eighty-one thousand".