346006547712 has 432 divisors, whose sum is σ = 1259716872960. Its totient is φ = 88996773888.

The previous prime is 346006547701. The next prime is 346006547717. The reversal of 346006547712 is 217745600643.

346006547712 is a `hidden beast` number, since 34 + 6 + 0 + 0 + 6 + 547 + 71 + 2 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (346006547717) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6278614 + ... + 6333482.

It is an arithmetic number, because the mean of its divisors is an integer number (2916011280).

Almost surely, 2^346006547712 is an apocalyptic number.

346006547712 is a gapful number since it is divisible by the number (32) 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 346006547712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (629858436480).

346006547712 is an abundant number, since it is smaller than the sum of its proper divisors (913710325248).

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

346006547712 is a wasteful number, since it uses less digits than its factorization.

346006547712 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 54938 (or 54921 counting only the distinct ones).

The product of its (nonzero) digits is 846720, while the sum is 45.

The spelling of 346006547712 in words is "three hundred forty-six billion, six million, five hundred forty-seven thousand, seven hundred twelve".