346826551680 has 1536 divisors, whose sum is σ = 1505555251200. Its totient is φ = 74619740160.

The previous prime is 346826551609. The next prime is 346826551691. The reversal of 346826551680 is 86155628643.

346826551680 is a `hidden beast` number, since 3 + 4 + 6 + 8 + 2 + 6 + 551 + 6 + 80 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1451157001 + ... + 1451157239.

It is an arithmetic number, because the mean of its divisors is an integer number (980179200).

Almost surely, 2^346826551680 is an apocalyptic number.

346826551680 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 346826551680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (752777625600).

346826551680 is an abundant number, since it is smaller than the sum of its proper divisors (1158728699520).

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

346826551680 is a wasteful number, since it uses less digits than its factorization.

346826551680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 354 (or 330 counting only the distinct ones).

The product of its (nonzero) digits is 8294400, while the sum is 54.

The spelling of 346826551680 in words is "three hundred forty-six billion, eight hundred twenty-six million, five hundred fifty-one thousand, six hundred eighty".