346770982080 has 336 divisors, whose sum is σ = 1262135347200. Its totient is φ = 87144007680.

The previous prime is 346770982073. The next prime is 346770982081. The reversal of 346770982080 is 80289077643.

346770982080 is a `hidden beast` number, since 3 + 467 + 70 + 98 + 20 + 8 + 0 = 666.

It is a super-2 number, since 2×346770982080² (a number of 24 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (346770982081) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 10434931 + ... + 10468109.

It is an arithmetic number, because the mean of its divisors is an integer number (3756355200).

Almost surely, 2^346770982080 is an apocalyptic number.

346770982080 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 346770982080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (631067673600).

346770982080 is an abundant number, since it is smaller than the sum of its proper divisors (915364365120).

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

346770982080 is a wasteful number, since it uses less digits than its factorization.

346770982080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33412 (or 33399 counting only the distinct ones).

The product of its (nonzero) digits is 4064256, while the sum is 54.

The spelling of 346770982080 in words is "three hundred forty-six billion, seven hundred seventy million, nine hundred eighty-two thousand, eighty".