340908393600 has 672 divisors, whose sum is σ = 1269378481140. Its totient is φ = 90425548800.

The previous prime is 340908393557. The next prime is 340908393601. The reversal of 340908393600 is 6393809043.

340908393600 is a `hidden beast` number, since 3 + 4 + 0 + 9 + 0 + 8 + 39 + 3 + 600 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 25756398144 + 315151995456 = 160488^2 + 561384^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (340908393601) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 83 ways as a sum of consecutive naturals, for example, 739497370 + ... + 739497830.

Almost surely, 2^340908393600 is an apocalyptic number.

340908393600 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 340908393600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (634689240570).

340908393600 is an abundant number, since it is smaller than the sum of its proper divisors (928470087540).

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

340908393600 is an equidigital number, since it uses as much as digits as its factorization.

340908393600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 820 (or 788 counting only the distinct ones).

The product of its (nonzero) digits is 419904, while the sum is 45.

The spelling of 340908393600 in words is "three hundred forty billion, nine hundred eight million, three hundred ninety-three thousand, six hundred".