34998218640 has 960 divisors, whose sum is σ = 159752632320. Its totient is φ = 6950845440.

The previous prime is 34998218627. The next prime is 34998218681. The reversal of 34998218640 is 4681289943.

34998218640 is a `hidden beast` number, since 3 + 499 + 82 + 18 + 64 + 0 = 666.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (54).

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, 26776867 + ... + 26778173.

It is an arithmetic number, because the mean of its divisors is an integer number (166408992).

Almost surely, 2^34998218640 is an apocalyptic number.

34998218640 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 34998218640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79876316160).

34998218640 is an abundant number, since it is smaller than the sum of its proper divisors (124754413680).

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

34998218640 is a wasteful number, since it uses less digits than its factorization.

34998218640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1377 (or 1358 counting only the distinct ones).

The product of its (nonzero) digits is 2985984, while the sum is 54.

The spelling of 34998218640 in words is "thirty-four billion, nine hundred ninety-eight million, two hundred eighteen thousand, six hundred forty".