346075265768652 has 240 divisors, whose sum is σ = 1057392435392832. Its totient is φ = 96661094584320.

The previous prime is 346075265768651. The next prime is 346075265768657. The reversal of 346075265768652 is 256867562570643.

346075265768652 is a `hidden beast` number, since 3 + 4 + 607 + 5 + 2 + 6 + 5 + 7 + 6 + 8 + 6 + 5 + 2 = 666.

It is a super-2 number, since 2×346075265768652² (a number of 30 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (346075265768651) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 9459702 + ... + 27957762.

Almost surely, 2^{346075265768652} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 346075265768652, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (528696217696416).

346075265768652 is an abundant number, since it is smaller than the sum of its proper divisors (711317169624180).

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

346075265768652 is a wasteful number, since it uses less digits than its factorization.

346075265768652 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18498270 (or 18498259 counting only the distinct ones).

The product of its (nonzero) digits is 3048192000, while the sum is 72.

The spelling of 346075265768652 in words is "three hundred forty-six trillion, seventy-five billion, two hundred sixty-five million, seven hundred sixty-eight thousand, six hundred fifty-two".