340807680 has 234 divisors, whose sum is σ = 1209433914. Its totient is φ = 88768512.

The previous prime is 340807679. The next prime is 340807697. The reversal of 340807680 is 86708043.

It can be written as a sum of positive squares in only one way, i.e., 272646144 + 68161536 = 16512^2 + 8256^2 .

It is a super-2 number, since 2×340807680² = 232299749493964800, which contains 22 as substring.

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 polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 7925739 + ... + 7925781.

It is an arithmetic number, because the mean of its divisors is an integer number (5168521).

Almost surely, 2^340807680 is an apocalyptic number.

340807680 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 340807680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (604716957).

340807680 is an abundant number, since it is smaller than the sum of its proper divisors (868626234).

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

340807680 is an equidigital number, since it uses as much as digits as its factorization.

340807680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 121 (or 53 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The square root of 340807680 is about 18460.9772222383. The cubic root of 340807680 is about 698.5054370953.

The spelling of 340807680 in words is "three hundred forty million, eight hundred seven thousand, six hundred eighty".