340107768 has 384 divisors, whose sum is σ = 1285977600. Its totient is φ = 81544320.

The previous prime is 340107743. The next prime is 340107773. The reversal of 340107768 is 867701043.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 26162130 + ... + 26162142.

It is an arithmetic number, because the mean of its divisors is an integer number (3348900).

Almost surely, 2^340107768 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 340107768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (642988800).

340107768 is an abundant number, since it is smaller than the sum of its proper divisors (945869832).

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

340107768 is a wasteful number, since it uses less digits than its factorization.

340107768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 81 (or 36 counting only the distinct ones).

The product of its (nonzero) digits is 28224, while the sum is 36.

The square root of 340107768 is about 18442.0109532556. The cubic root of 340107768 is about 698.0269390785.

The spelling of 340107768 in words is "three hundred forty million, one hundred seven thousand, seven hundred sixty-eight".