34958220660 has 144 divisors (see below), whose sum is σ = 116591634432. Its totient is φ = 8407929600.

The previous prime is 34958220653. The next prime is 34958220673. The reversal of 34958220660 is 6602285943.

34958220660 is a `hidden beast` number, since 3 + 4 + 9 + 582 + 2 + 0 + 6 + 60 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 181950 + ... + 320970.

It is an arithmetic number, because the mean of its divisors is an integer number (809664128).

Almost surely, 2^34958220660 is an apocalyptic number.

34958220660 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 34958220660, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58295817216).

34958220660 is an abundant number, since it is smaller than the sum of its proper divisors (81633413772).

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

34958220660 is a wasteful number, since it uses less digits than its factorization.

34958220660 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 139174 (or 139169 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 45.

The spelling of 34958220660 in words is "thirty-four billion, nine hundred fifty-eight million, two hundred twenty thousand, six hundred sixty".