346405461693984 has 3456 divisors, whose sum is σ = 1418747314360320. Its totient is φ = 79590905856000.

The previous prime is 346405461693983. The next prime is 346405461693989. The reversal of 346405461693984 is 489396164504643.

346405461693984 is a `hidden beast` number, since 3 + 4 + 6 + 40 + 546 + 1 + 6 + 9 + 39 + 8 + 4 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (346405461693983) by changing a digit.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 4878950164669 + ... + 4878950164739.

It is an arithmetic number, because the mean of its divisors is an integer number (410517162720).

Almost surely, 2^{346405461693984} is an apocalyptic number.

346405461693984 is a gapful number since it is divisible by the number (34) 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 346405461693984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (709373657180160).

346405461693984 is an abundant number, since it is smaller than the sum of its proper divisors (1072341852666336).

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

346405461693984 is a wasteful number, since it uses less digits than its factorization.

346405461693984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 321 (or 209 counting only the distinct ones).

The product of its (nonzero) digits is 1612431360, while the sum is 72.

The spelling of 346405461693984 in words is "three hundred forty-six trillion, four hundred five billion, four hundred sixty-one million, six hundred ninety-three thousand, nine hundred eighty-four".