346166342504640 has 3360 divisors, whose sum is σ = 1531064928476160. Its totient is φ = 72532644839424.

The previous prime is 346166342504581. The next prime is 346166342504693. The reversal of 346166342504640 is 46405243661643.

346166342504640 is a `hidden beast` number, since 3 + 4 + 6 + 1 + 66 + 34 + 2 + 504 + 6 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (3360).

It is a super-2 number, since 2×346166342504640² (a number of 30 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 479 ways as a sum of consecutive naturals, for example, 2490405341691 + ... + 2490405341829.

It is an arithmetic number, because the mean of its divisors is an integer number (455674085856).

Almost surely, 2^{346166342504640} is an apocalyptic number.

346166342504640 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 346166342504640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (765532464238080).

346166342504640 is an abundant number, since it is smaller than the sum of its proper divisors (1184898585971520).

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

346166342504640 is a wasteful number, since it uses less digits than its factorization.

346166342504640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 489 (or 343 counting only the distinct ones).

The product of its (nonzero) digits is 29859840, while the sum is 54.

The spelling of 346166342504640 in words is "three hundred forty-six trillion, one hundred sixty-six billion, three hundred forty-two million, five hundred four thousand, six hundred forty".