340003680 has 96 divisors (see below), whose sum is σ = 1078334208. Its totient is φ = 90048000.

The previous prime is 340003669. The next prime is 340003711. The reversal of 340003680 is 86300043.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 340003680.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 70135 + ... + 74825.

It is an arithmetic number, because the mean of its divisors is an integer number (11232648).

Almost surely, 2^340003680 is an apocalyptic number.

340003680 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 340003680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (539167104).

340003680 is an abundant number, since it is smaller than the sum of its proper divisors (738330528).

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

340003680 is a wasteful number, since it uses less digits than its factorization.

340003680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4860 (or 4852 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

The square root of 340003680 is about 18439.1887023264. The cubic root of 340003680 is about 697.9557227875.

The spelling of 340003680 in words is "three hundred forty million, three thousand, six hundred eighty".