340104013218 has 160 divisors (see below), whose sum is σ = 810111456000. Its totient is φ = 106345703520.

The previous prime is 340104013181. The next prime is 340104013219. The reversal of 340104013218 is 812310401043.

340104013218 is a `hidden beast` number, since 3 + 40 + 1 + 0 + 401 + 3 + 218 = 666.

It is a super-3 number, since 3×340104013218³ (a number of 36 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 340104013191 and 340104013200.

It is not an unprimeable number, because it can be changed into a prime (340104013219) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 210069613 + ... + 210071231.

It is an arithmetic number, because the mean of its divisors is an integer number (5063196600).

Almost surely, 2^340104013218 is an apocalyptic number.

340104013218 is a gapful number since it is divisible by the number (38) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 340104013218, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (405055728000).

340104013218 is an abundant number, since it is smaller than the sum of its proper divisors (470007442782).

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

340104013218 is a wasteful number, since it uses less digits than its factorization.

340104013218 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2282 (or 2273 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The spelling of 340104013218 in words is "three hundred forty billion, one hundred four million, thirteen thousand, two hundred eighteen".