349942394880 has 832 divisors, whose sum is σ = 1358584160640. Its totient is φ = 85996339200.

The previous prime is 349942394833. The next prime is 349942394917. The reversal of 349942394880 is 88493249943.

349942394880 is a `hidden beast` number, since 3 + 4 + 99 + 423 + 9 + 48 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (832).

It is a super-5 number, since 5×349942394880⁵ (a number of 59 digits) contains 55555 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 582266580 + ... + 582267180.

Almost surely, 2^349942394880 is an apocalyptic number.

349942394880 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 349942394880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (679292080320).

349942394880 is an abundant number, since it is smaller than the sum of its proper divisors (1008641765760).

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

349942394880 is an frugal number, since it uses more digits than its factorization.

349942394880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 664 (or 624 counting only the distinct ones).

The product of its (nonzero) digits is 53747712, while the sum is 63.

The spelling of 349942394880 in words is "three hundred forty-nine billion, nine hundred forty-two million, three hundred ninety-four thousand, eight hundred eighty".