340369555680 has 2304 divisors, whose sum is σ = 1597740318720. Its totient is φ = 66388377600.

The previous prime is 340369555637. The next prime is 340369555693. The reversal of 340369555680 is 86555963043.

It is a happy number.

340369555680 is a `hidden beast` number, since 3 + 4 + 0 + 3 + 6 + 9 + 5 + 556 + 80 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 5768975491 + ... + 5768975549.

It is an arithmetic number, because the mean of its divisors is an integer number (693463680).

Almost surely, 2^340369555680 is an apocalyptic number.

340369555680 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 340369555680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (798870159360).

340369555680 is an abundant number, since it is smaller than the sum of its proper divisors (1257370763040).

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

340369555680 is a wasteful number, since it uses less digits than its factorization.

340369555680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 195 (or 175 counting only the distinct ones).

The product of its (nonzero) digits is 11664000, while the sum is 54.

The spelling of 340369555680 in words is "three hundred forty billion, three hundred sixty-nine million, five hundred fifty-five thousand, six hundred eighty".