340456634760 has 256 divisors, whose sum is σ = 1142317209600. Its totient is φ = 80457062400.

The previous prime is 340456634747. The next prime is 340456634761. The reversal of 340456634760 is 67436654043.

It is not an unprimeable number, because it can be changed into a prime (340456634761) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 117926037 + ... + 117928923.

It is an arithmetic number, because the mean of its divisors is an integer number (4462176600).

Almost surely, 2^340456634760 is an apocalyptic number.

340456634760 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 340456634760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (571158604800).

340456634760 is an abundant number, since it is smaller than the sum of its proper divisors (801860574840).

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

340456634760 is a wasteful number, since it uses less digits than its factorization.

340456634760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5132 (or 5128 counting only the distinct ones).

The product of its (nonzero) digits is 4354560, while the sum is 48.

The spelling of 340456634760 in words is "three hundred forty billion, four hundred fifty-six million, six hundred thirty-four thousand, seven hundred sixty".