34755840000 has 720 divisors, whose sum is σ = 143688504960. Its totient is φ = 7925760000.

The previous prime is 34755839977. The next prime is 34755840023. The reversal of 34755840000 is 4855743.

34755840000 is a `hidden beast` number, since 3 + 4 + 75 + 584 + 0 + 0 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (34755839977) and next prime (34755840023).

It is a tau number, because it is divible by the number of its divisors (720).

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 59 ways as a sum of consecutive naturals, for example, 80639785 + ... + 80640215.

It is an arithmetic number, because the mean of its divisors is an integer number (199567368).

Almost surely, 2^34755840000 is an apocalyptic number.

34755840000 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 34755840000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71844252480).

34755840000 is an abundant number, since it is smaller than the sum of its proper divisors (108932664960).

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

34755840000 is an equidigital number, since it uses as much as digits as its factorization.

34755840000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 486 (or 448 counting only the distinct ones).

The product of its (nonzero) digits is 67200, while the sum is 36.

The spelling of 34755840000 in words is "thirty-four billion, seven hundred fifty-five million, eight hundred forty thousand".