340290385344 has 504 divisors, whose sum is σ = 1223778839712. Its totient is φ = 88504565760.

The previous prime is 340290385333. The next prime is 340290385373. The reversal of 340290385344 is 443583092043.

It is a tau number, because it is divible by the number of its divisors (504).

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 340290385344.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 49739364 + ... + 49746204.

Almost surely, 2^340290385344 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 340290385344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (611889419856).

340290385344 is an abundant number, since it is smaller than the sum of its proper divisors (883488454368).

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

340290385344 is a wasteful number, since it uses less digits than its factorization.

340290385344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6965 (or 6939 counting only the distinct ones).

The product of its (nonzero) digits is 1244160, while the sum is 45.

The spelling of 340290385344 in words is "three hundred forty billion, two hundred ninety million, three hundred eighty-five thousand, three hundred forty-four".