349996612680 has 1536 divisors, whose sum is σ = 1478181519360. Its totient is φ = 70509035520.

The previous prime is 349996612661. The next prime is 349996612699. The reversal of 349996612680 is 86216699943.

349996612680 is a `hidden beast` number, since 3 + 4 + 9 + 9 + 9 + 6 + 612 + 6 + 8 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (349996612661) and next prime (349996612699).

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 2755878777 + ... + 2755878903.

It is an arithmetic number, because the mean of its divisors is an integer number (962357760).

Almost surely, 2^349996612680 is an apocalyptic number.

349996612680 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 349996612680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (739090759680).

349996612680 is an abundant number, since it is smaller than the sum of its proper divisors (1128184906680).

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

349996612680 is a wasteful number, since it uses less digits than its factorization.

349996612680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 299 (or 292 counting only the distinct ones).

The product of its (nonzero) digits is 30233088, while the sum is 63.

The spelling of 349996612680 in words is "three hundred forty-nine billion, nine hundred ninety-six million, six hundred twelve thousand, six hundred eighty".