340357920 has 288 divisors, whose sum is σ = 1292760000. Its totient is φ = 74962944.

The previous prime is 340357909. The next prime is 340357937. The reversal of 340357920 is 29753043.

It is a happy number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 681831 + ... + 682329.

It is an arithmetic number, because the mean of its divisors is an integer number (4488750).

Almost surely, 2^340357920 is an apocalyptic number.

340357920 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 340357920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (646380000).

340357920 is an abundant number, since it is smaller than the sum of its proper divisors (952402080).

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

340357920 is a wasteful number, since it uses less digits than its factorization.

340357920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 560 (or 545 counting only the distinct ones).

The product of its (nonzero) digits is 22680, while the sum is 33.

The square root of 340357920 is about 18448.7918303611. The cubic root of 340357920 is about 698.1980319487.

The spelling of 340357920 in words is "three hundred forty million, three hundred fifty-seven thousand, nine hundred twenty".