340343239680 has 1056 divisors, whose sum is σ = 1286259077376. Its totient is φ = 82995314688.

The previous prime is 340343239679. The next prime is 340343239693. The reversal of 340343239680 is 86932343043.

340343239680 is a `hidden beast` number, since 3 + 403 + 4 + 3 + 239 + 6 + 8 + 0 = 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 95 ways as a sum of consecutive naturals, for example, 4100520919 + ... + 4100521001.

Almost surely, 2^340343239680 is an apocalyptic number.

340343239680 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 340343239680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (643129538688).

340343239680 is an abundant number, since it is smaller than the sum of its proper divisors (945915837696).

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

340343239680 is a wasteful number, since it uses less digits than its factorization.

340343239680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 263 (or 242 counting only the distinct ones).

The product of its (nonzero) digits is 1119744, while the sum is 45.

The spelling of 340343239680 in words is "three hundred forty billion, three hundred forty-three million, two hundred thirty-nine thousand, six hundred eighty".