349638580287360 has 2560 divisors, whose sum is σ = 1621306573286400. Its totient is φ = 69729271676928.

The previous prime is 349638580287287. The next prime is 349638580287383. The reversal of 349638580287360 is 63782085836943.

349638580287360 is a `hidden beast` number, since 3 + 4 + 9 + 6 + 3 + 8 + 580 + 2 + 8 + 7 + 36 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 41857840944 + ... + 41857849296.

It is an arithmetic number, because the mean of its divisors is an integer number (633322880190).

Almost surely, 2^{349638580287360} is an apocalyptic number.

349638580287360 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 349638580287360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (810653286643200).

349638580287360 is an abundant number, since it is smaller than the sum of its proper divisors (1271667992999040).

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

349638580287360 is a wasteful number, since it uses less digits than its factorization.

349638580287360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8890 (or 8869 counting only the distinct ones).

The product of its (nonzero) digits is 1254113280, while the sum is 72.

The spelling of 349638580287360 in words is "three hundred forty-nine trillion, six hundred thirty-eight billion, five hundred eighty million, two hundred eighty-seven thousand, three hundred sixty".