340493826316938 has 512 divisors, whose sum is σ = 837987296256000. Its totient is φ = 90201564364800.

The previous prime is 340493826316907. The next prime is 340493826316979. The reversal of 340493826316938 is 839613628394043.

340493826316938 is an astonishing number since 340493826316938 = 3404938 + ... + 26316938.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 177989453470 + ... + 177989455382.

It is an arithmetic number, because the mean of its divisors is an integer number (1636693938000).

Almost surely, 2^{340493826316938} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 340493826316938, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (418993648128000).

340493826316938 is an abundant number, since it is smaller than the sum of its proper divisors (497493469939062).

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

340493826316938 is a wasteful number, since it uses less digits than its factorization.

340493826316938 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2430.

The product of its (nonzero) digits is 483729408, while the sum is 69.

The spelling of 340493826316938 in words is "three hundred forty trillion, four hundred ninety-three billion, eight hundred twenty-six million, three hundred sixteen thousand, nine hundred thirty-eight".