346928883840 has 2304 divisors, whose sum is σ = 1647808531200. Its totient is φ = 67722117120.

The previous prime is 346928883823. The next prime is 346928883859. The reversal of 346928883840 is 48388829643.

346928883840 is a `hidden beast` number, since 3 + 469 + 28 + 88 + 38 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

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 287 ways as a sum of consecutive naturals, for example, 9376456302 + ... + 9376456338.

It is an arithmetic number, because the mean of its divisors is an integer number (715194675).

Almost surely, 2^346928883840 is an apocalyptic number.

346928883840 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 346928883840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (823904265600).

346928883840 is an abundant number, since it is smaller than the sum of its proper divisors (1300879647360).

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

346928883840 is an equidigital number, since it uses as much as digits as its factorization.

346928883840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 127 (or 94 counting only the distinct ones).

The product of its (nonzero) digits is 63700992, while the sum is 63.

The spelling of 346928883840 in words is "three hundred forty-six billion, nine hundred twenty-eight million, eight hundred eighty-three thousand, eight hundred forty".