340893325656 has 384 divisors, whose sum is σ = 1129437691200. Its totient is φ = 95312609280.

The previous prime is 340893325609. The next prime is 340893325667. The reversal of 340893325656 is 656523398043.

340893325656 is a `hidden beast` number, since 3 + 40 + 8 + 9 + 3 + 32 + 565 + 6 = 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 95 ways as a sum of consecutive naturals, for example, 12445416 + ... + 12472776.

Almost surely, 2^340893325656 is an apocalyptic number.

340893325656 is a gapful number since it is divisible by the number (36) 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 340893325656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (564718845600).

340893325656 is an abundant number, since it is smaller than the sum of its proper divisors (788544365544).

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

340893325656 is a wasteful number, since it uses less digits than its factorization.

340893325656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27441 (or 27425 counting only the distinct ones).

The product of its (nonzero) digits is 13996800, while the sum is 54.

The spelling of 340893325656 in words is "three hundred forty billion, eight hundred ninety-three million, three hundred twenty-five thousand, six hundred fifty-six".