34745841000 has 768 divisors, whose sum is σ = 139089000960. Its totient is φ = 8037273600.

The previous prime is 34745840989. The next prime is 34745841083. The reversal of 34745841000 is 14854743.

34745841000 is a `hidden beast` number, since 3 + 4 + 74 + 584 + 1 + 0 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 53702677 + ... + 53703323.

It is an arithmetic number, because the mean of its divisors is an integer number (181105470).

Almost surely, 2^34745841000 is an apocalyptic number.

34745841000 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 34745841000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69544500480).

34745841000 is an abundant number, since it is smaller than the sum of its proper divisors (104343159960).

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

34745841000 is a wasteful number, since it uses less digits than its factorization.

34745841000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 713 (or 687 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 36.

The spelling of 34745841000 in words is "thirty-four billion, seven hundred forty-five million, eight hundred forty-one thousand".