340735680 has 224 divisors, whose sum is σ = 1216152000. Its totient is φ = 89800704.

The previous prime is 340735673. The next prime is 340735697. The reversal of 340735680 is 86537043.

It is a happy number.

It is a super-2 number, since 2×340735680² = 232201607250124800, which contains 22 as substring.

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

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 31 ways as a sum of consecutive naturals, for example, 976146 + ... + 976494.

It is an arithmetic number, because the mean of its divisors is an integer number (5429250).

Almost surely, 2^340735680 is an apocalyptic number.

340735680 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 340735680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (608076000).

340735680 is an abundant number, since it is smaller than the sum of its proper divisors (875416320).

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

340735680 is a wasteful number, since it uses less digits than its factorization.

340735680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 488 (or 472 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 36.

The square root of 340735680 is about 18459.0270599509. The cubic root of 340735680 is about 698.4562442157.

The spelling of 340735680 in words is "three hundred forty million, seven hundred thirty-five thousand, six hundred eighty".