340378484292 has 576 divisors, whose sum is σ = 1149000652800. Its totient is φ = 82301184000.

The previous prime is 340378484287. The next prime is 340378484293. The reversal of 340378484292 is 292484873043.

340378484292 is a `hidden beast` number, since 3 + 4 + 0 + 3 + 78 + 484 + 2 + 92 = 666.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (340378484293) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1211311192 + ... + 1211311472.

It is an arithmetic number, because the mean of its divisors is an integer number (1994792800).

Almost surely, 2^340378484292 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 340378484292, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (574500326400).

340378484292 is an abundant number, since it is smaller than the sum of its proper divisors (808622168508).

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

340378484292 is a wasteful number, since it uses less digits than its factorization.

340378484292 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 648 (or 643 counting only the distinct ones).

The product of its (nonzero) digits is 9289728, while the sum is 54.

The spelling of 340378484292 in words is "three hundred forty billion, three hundred seventy-eight million, four hundred eighty-four thousand, two hundred ninety-two".