346806139680 has 3456 divisors, whose sum is σ = 1791910149120. Its totient is φ = 62078607360.

The previous prime is 346806139663. The next prime is 346806139717. The reversal of 346806139680 is 86931608643.

346806139680 is a `hidden beast` number, since 3 + 46 + 80 + 61 + 396 + 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 polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 5176211007 + ... + 5176211073.

It is an arithmetic number, because the mean of its divisors is an integer number (518492520).

Almost surely, 2^346806139680 is an apocalyptic number.

346806139680 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 346806139680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (895955074560).

346806139680 is an abundant number, since it is smaller than the sum of its proper divisors (1445104009440).

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

346806139680 is a wasteful number, since it uses less digits than its factorization.

346806139680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 154 (or 127 counting only the distinct ones).

The product of its (nonzero) digits is 4478976, while the sum is 54.

The spelling of 346806139680 in words is "three hundred forty-six billion, eight hundred six million, one hundred thirty-nine thousand, six hundred eighty".