340538204160 has 2240 divisors, whose sum is σ = 1607696031744. Its totient is φ = 66886041600.

The previous prime is 340538204159. The next prime is 340538204161. The reversal of 340538204160 is 61402835043.

340538204160 is a `hidden beast` number, since 3 + 4 + 0 + 538 + 20 + 41 + 60 = 666.

It is an interprime number because it is at equal distance from previous prime (340538204159) and next prime (340538204161).

It is a tau number, because it is divible by the number of its divisors (2240).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (340538204161) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 7919493099 + ... + 7919493141.

Almost surely, 2^340538204160 is an apocalyptic number.

340538204160 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 340538204160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (803848015872).

340538204160 is an abundant number, since it is smaller than the sum of its proper divisors (1267157827584).

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

340538204160 is a wasteful number, since it uses less digits than its factorization.

340538204160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 135 (or 102 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The spelling of 340538204160 in words is "three hundred forty billion, five hundred thirty-eight million, two hundred four thousand, one hundred sixty".