349928631360 has 2352 divisors, whose sum is σ = 1668024047232. Its totient is φ = 69551032320.

The previous prime is 349928631343. The next prime is 349928631373. The reversal of 349928631360 is 63136829943.

349928631360 is a `hidden beast` number, since 3 + 49 + 9 + 286 + 313 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2352).

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

It is a junction number, because it is equal to n+sod(n) for n = 349928631297 and 349928631306.

It is an unprimeable number.

It is a polite number, since it can be written in 335 ways as a sum of consecutive naturals, for example, 15214288309 + ... + 15214288331.

Almost surely, 2^349928631360 is an apocalyptic number.

349928631360 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 349928631360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (834012023616).

349928631360 is an abundant number, since it is smaller than the sum of its proper divisors (1318095415872).

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

349928631360 is an equidigital number, since it uses as much as digits as its factorization.

349928631360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 105 (or 51 counting only the distinct ones).

The product of its (nonzero) digits is 5038848, while the sum is 54.

The spelling of 349928631360 in words is "three hundred forty-nine billion, nine hundred twenty-eight million, six hundred thirty-one thousand, three hundred sixty".