346698661135680 has 1008 divisors, whose sum is σ = 1401360858293760. Its totient is φ = 78440025194496.

The previous prime is 346698661135621. The next prime is 346698661135693. The reversal of 346698661135680 is 86531166896643.

346698661135680 is a `hidden beast` number, since 3 + 4 + 6 + 69 + 86 + 61 + 1 + 356 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (1008).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 346698661135599 and 346698661135608.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 5632491784 + ... + 5632553336.

It is an arithmetic number, because the mean of its divisors is an integer number (1390238946720).

Almost surely, 2^{346698661135680} is an apocalyptic number.

346698661135680 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 346698661135680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (700680429146880).

346698661135680 is an abundant number, since it is smaller than the sum of its proper divisors (1054662197158080).

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

346698661135680 is a wasteful number, since it uses less digits than its factorization.

346698661135680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 61996 (or 61976 counting only the distinct ones).

The product of its (nonzero) digits is 806215680, while the sum is 72.

The spelling of 346698661135680 in words is "three hundred forty-six trillion, six hundred ninety-eight billion, six hundred sixty-one million, one hundred thirty-five thousand, six hundred eighty".