34655985000 has 1440 divisors, whose sum is σ = 156414931200. Its totient is φ = 7076160000.

The previous prime is 34655984999. The next prime is 34655985017. The reversal of 34655985000 is 58955643.

34655985000 is a `hidden beast` number, since 3 + 4 + 6 + 5 + 598 + 50 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 359 ways as a sum of consecutive naturals, for example, 1117934985 + ... + 1117935015.

It is an arithmetic number, because the mean of its divisors is an integer number (108621480).

Almost surely, 2^34655985000 is an apocalyptic number.

34655985000 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 34655985000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78207465600).

34655985000 is an abundant number, since it is smaller than the sum of its proper divisors (121758946200).

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

34655985000 is a wasteful number, since it uses less digits than its factorization.

34655985000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 106 (or 61 counting only the distinct ones).

The product of its (nonzero) digits is 648000, while the sum is 45.

The spelling of 34655985000 in words is "thirty-four billion, six hundred fifty-five million, nine hundred eighty-five thousand".