349810348680 has 576 divisors, whose sum is σ = 1297958800320. Its totient is φ = 84671308800.

The previous prime is 349810348637. The next prime is 349810348681. The reversal of 349810348680 is 86843018943.

349810348680 is a `hidden beast` number, since 3 + 4 + 9 + 81 + 0 + 3 + 486 + 80 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (349810348681) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 100201735 + ... + 100205225.

It is an arithmetic number, because the mean of its divisors is an integer number (2253400695).

Almost surely, 2^349810348680 is an apocalyptic number.

349810348680 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 349810348680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (648979400160).

349810348680 is an abundant number, since it is smaller than the sum of its proper divisors (948148451640).

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

349810348680 is a wasteful number, since it uses less digits than its factorization.

349810348680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3604 (or 3575 counting only the distinct ones).

The product of its (nonzero) digits is 3981312, while the sum is 54.

The spelling of 349810348680 in words is "three hundred forty-nine billion, eight hundred ten million, three hundred forty-eight thousand, six hundred eighty".