340655089320 has 768 divisors, whose sum is σ = 1484433216000. Its totient is φ = 68746309632.

The previous prime is 340655089303. The next prime is 340655089331. The reversal of 340655089320 is 23980556043.

340655089320 is a `hidden beast` number, since 3 + 4 + 0 + 6 + 550 + 8 + 93 + 2 + 0 = 666.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 15812316 + ... + 15833844.

It is an arithmetic number, because the mean of its divisors is an integer number (1932855750).

Almost surely, 2^340655089320 is an apocalyptic number.

340655089320 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 340655089320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (742216608000).

340655089320 is an abundant number, since it is smaller than the sum of its proper divisors (1143778126680).

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

340655089320 is a wasteful number, since it uses less digits than its factorization.

340655089320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21599 (or 21582 counting only the distinct ones).

The product of its (nonzero) digits is 777600, while the sum is 45.

The spelling of 340655089320 in words is "three hundred forty billion, six hundred fifty-five million, eighty-nine thousand, three hundred twenty".